\documentclass[12pt,titlepage]{article}

\usepackage{amsmath}
\usepackage{mathrsfs}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsthm}
\usepackage{mathtools}
\usepackage{graphicx}
\usepackage{color}
\usepackage{ucs}
\usepackage[utf8x]{inputenc}
\usepackage{xparse}
\usepackage{hyperref}

%----Macros----------
%
% Unresolved issues:
%
%  \righttoleftarrow
%  \lefttorightarrow
%
%  \color{} with HTML colorspec
%  \bgcolor
%  \array with options (without options, it's equivalent to the matrix environment)

% Of the standard HTML named colors, white, black, red, green, blue and yellow
% are predefined in the color package. Here are the rest.
\definecolor{aqua}{rgb}{0, 1.0, 1.0}
\definecolor{fuschia}{rgb}{1.0, 0, 1.0}
\definecolor{gray}{rgb}{0.502, 0.502, 0.502}
\definecolor{lime}{rgb}{0, 1.0, 0}
\definecolor{maroon}{rgb}{0.502, 0, 0}
\definecolor{navy}{rgb}{0, 0, 0.502}
\definecolor{olive}{rgb}{0.502, 0.502, 0}
\definecolor{purple}{rgb}{0.502, 0, 0.502}
\definecolor{silver}{rgb}{0.753, 0.753, 0.753}
\definecolor{teal}{rgb}{0, 0.502, 0.502}

% Because of conflicts, \space and \mathop are converted to
% \itexspace and \operatorname during preprocessing.

% itex: \space{ht}{dp}{wd}
%
% Height and baseline depth measurements are in units of tenths of an ex while
% the width is measured in tenths of an em.
\makeatletter
\newdimen\itex@wd%
\newdimen\itex@dp%
\newdimen\itex@thd%
\def\itexspace#1#2#3{\itex@wd=#3em%
\itex@wd=0.1\itex@wd%
\itex@dp=#2ex%
\itex@dp=0.1\itex@dp%
\itex@thd=#1ex%
\itex@thd=0.1\itex@thd%
\advance\itex@thd\the\itex@dp%
\makebox[\the\itex@wd]{\rule[-\the\itex@dp]{0cm}{\the\itex@thd}}}
\makeatother

% \tensor and \multiscript
\makeatletter
\newif\if@sup
\newtoks\@sups
\def\append@sup#1{\edef\act{\noexpand\@sups={\the\@sups #1}}\act}%
\def\reset@sup{\@supfalse\@sups={}}%
\def\mk@scripts#1#2{\if #2/ \if@sup ^{\the\@sups}\fi \else%
  \ifx #1_ \if@sup ^{\the\@sups}\reset@sup \fi {}_{#2}%
  \else \append@sup#2 \@suptrue \fi%
  \expandafter\mk@scripts\fi}
\def\tensor#1#2{\reset@sup#1\mk@scripts#2_/}
\def\multiscripts#1#2#3{\reset@sup{}\mk@scripts#1_/#2%
  \reset@sup\mk@scripts#3_/}
\makeatother

% \slash
\makeatletter
\newbox\slashbox \setbox\slashbox=\hbox{$/$}
\def\itex@pslash#1{\setbox\@tempboxa=\hbox{$#1$}
  \@tempdima=0.5\wd\slashbox \advance\@tempdima 0.5\wd\@tempboxa
  \copy\slashbox \kern-\@tempdima \box\@tempboxa}
\def\slash{\protect\itex@pslash}
\makeatother

% math-mode versions of \rlap, etc
% from Alexander Perlis, "A complement to \smash, \llap, and lap"
%   http://math.arizona.edu/~aprl/publications/mathclap/
\def\clap#1{\hbox to 0pt{\hss#1\hss}}
\def\mathllap{\mathpalette\mathllapinternal}
\def\mathrlap{\mathpalette\mathrlapinternal}
\def\mathclap{\mathpalette\mathclapinternal}
\def\mathllapinternal#1#2{\llap{$\mathsurround=0pt#1{#2}$}}
\def\mathrlapinternal#1#2{\rlap{$\mathsurround=0pt#1{#2}$}}
\def\mathclapinternal#1#2{\clap{$\mathsurround=0pt#1{#2}$}}

% Renames \sqrt as \oldsqrt and redefine root to result in \sqrt[#1]{#2}
\let\oldroot\root
\def\root#1#2{\oldroot #1 \of{#2}}
\renewcommand{\sqrt}[2][]{\oldroot #1 \of{#2}}

% Manually declare the txfonts symbolsC font
\DeclareSymbolFont{symbolsC}{U}{txsyc}{m}{n}
\SetSymbolFont{symbolsC}{bold}{U}{txsyc}{bx}{n}
\DeclareFontSubstitution{U}{txsyc}{m}{n}

% Manually declare the stmaryrd font
\DeclareSymbolFont{stmry}{U}{stmry}{m}{n}
\SetSymbolFont{stmry}{bold}{U}{stmry}{b}{n}

% Manually declare the MnSymbolE font
\DeclareFontFamily{OMX}{MnSymbolE}{}
\DeclareSymbolFont{mnomx}{OMX}{MnSymbolE}{m}{n}
\SetSymbolFont{mnomx}{bold}{OMX}{MnSymbolE}{b}{n}
\DeclareFontShape{OMX}{MnSymbolE}{m}{n}{
    <-6>  MnSymbolE5
   <6-7>  MnSymbolE6
   <7-8>  MnSymbolE7
   <8-9>  MnSymbolE8
   <9-10> MnSymbolE9
  <10-12> MnSymbolE10
  <12->   MnSymbolE12}{}

% Declare specific arrows from txfonts without loading the full package
\makeatletter
\def\re@DeclareMathSymbol#1#2#3#4{%
    \let#1=\undefined
    \DeclareMathSymbol{#1}{#2}{#3}{#4}}
\re@DeclareMathSymbol{\neArrow}{\mathrel}{symbolsC}{116}
\re@DeclareMathSymbol{\neArr}{\mathrel}{symbolsC}{116}
\re@DeclareMathSymbol{\seArrow}{\mathrel}{symbolsC}{117}
\re@DeclareMathSymbol{\seArr}{\mathrel}{symbolsC}{117}
\re@DeclareMathSymbol{\nwArrow}{\mathrel}{symbolsC}{118}
\re@DeclareMathSymbol{\nwArr}{\mathrel}{symbolsC}{118}
\re@DeclareMathSymbol{\swArrow}{\mathrel}{symbolsC}{119}
\re@DeclareMathSymbol{\swArr}{\mathrel}{symbolsC}{119}
\re@DeclareMathSymbol{\nequiv}{\mathrel}{symbolsC}{46}
\re@DeclareMathSymbol{\Perp}{\mathrel}{symbolsC}{121}
\re@DeclareMathSymbol{\Vbar}{\mathrel}{symbolsC}{121}
\re@DeclareMathSymbol{\sslash}{\mathrel}{stmry}{12}
\re@DeclareMathSymbol{\bigsqcap}{\mathop}{stmry}{"64}
\re@DeclareMathSymbol{\biginterleave}{\mathop}{stmry}{"6}
\re@DeclareMathSymbol{\invamp}{\mathrel}{symbolsC}{77}
\re@DeclareMathSymbol{\parr}{\mathrel}{symbolsC}{77}
\makeatother

% \llangle, \rrangle, \lmoustache and \rmoustache from MnSymbolE
\makeatletter
\def\Decl@Mn@Delim#1#2#3#4{%
  \if\relax\noexpand#1%
    \let#1\undefined
  \fi
  \DeclareMathDelimiter{#1}{#2}{#3}{#4}{#3}{#4}}
\def\Decl@Mn@Open#1#2#3{\Decl@Mn@Delim{#1}{\mathopen}{#2}{#3}}
\def\Decl@Mn@Close#1#2#3{\Decl@Mn@Delim{#1}{\mathclose}{#2}{#3}}
\Decl@Mn@Open{\llangle}{mnomx}{'164}
\Decl@Mn@Close{\rrangle}{mnomx}{'171}
\Decl@Mn@Open{\lmoustache}{mnomx}{'245}
\Decl@Mn@Close{\rmoustache}{mnomx}{'244}
\makeatother

% Widecheck
\makeatletter
\DeclareRobustCommand\widecheck[1]{{\mathpalette\@widecheck{#1}}}
\def\@widecheck#1#2{%
    \setbox\z@\hbox{\m@th$#1#2$}%
    \setbox\tw@\hbox{\m@th$#1%
       \widehat{%
          \vrule\@width\z@\@height\ht\z@
          \vrule\@height\z@\@width\wd\z@}$}%
    \dp\tw@-\ht\z@
    \@tempdima\ht\z@ \advance\@tempdima2\ht\tw@ \divide\@tempdima\thr@@
    \setbox\tw@\hbox{%
       \raise\@tempdima\hbox{\scalebox{1}[-1]{\lower\@tempdima\box
\tw@}}}%
    {\ooalign{\box\tw@ \cr \box\z@}}}
\makeatother

% \mathraisebox{voffset}[height][depth]{something}
\makeatletter
\NewDocumentCommand\mathraisebox{moom}{%
\IfNoValueTF{#2}{\def\@temp##1##2{\raisebox{#1}{$\m@th##1##2$}}}{%
\IfNoValueTF{#3}{\def\@temp##1##2{\raisebox{#1}[#2]{$\m@th##1##2$}}%
}{\def\@temp##1##2{\raisebox{#1}[#2][#3]{$\m@th##1##2$}}}}%
\mathpalette\@temp{#4}}
\makeatletter

% udots (taken from yhmath)
\makeatletter
\def\udots{\mathinner{\mkern2mu\raise\p@\hbox{.}
\mkern2mu\raise4\p@\hbox{.}\mkern1mu
\raise7\p@\vbox{\kern7\p@\hbox{.}}\mkern1mu}}
\makeatother

%% Fix array
\newcommand{\itexarray}[1]{\begin{matrix}#1\end{matrix}}
%% \itexnum is a noop
\newcommand{\itexnum}[1]{#1}

%% Renaming existing commands
\newcommand{\underoverset}[3]{\underset{#1}{\overset{#2}{#3}}}
\newcommand{\widevec}{\overrightarrow}
\newcommand{\darr}{\downarrow}
\newcommand{\nearr}{\nearrow}
\newcommand{\nwarr}{\nwarrow}
\newcommand{\searr}{\searrow}
\newcommand{\swarr}{\swarrow}
\newcommand{\curvearrowbotright}{\curvearrowright}
\newcommand{\uparr}{\uparrow}
\newcommand{\downuparrow}{\updownarrow}
\newcommand{\duparr}{\updownarrow}
\newcommand{\updarr}{\updownarrow}
\newcommand{\gt}{>}
\newcommand{\lt}{<}
\newcommand{\map}{\mapsto}
\newcommand{\embedsin}{\hookrightarrow}
\newcommand{\Alpha}{A}
\newcommand{\Beta}{B}
\newcommand{\Zeta}{Z}
\newcommand{\Eta}{H}
\newcommand{\Iota}{I}
\newcommand{\Kappa}{K}
\newcommand{\Mu}{M}
\newcommand{\Nu}{N}
\newcommand{\Rho}{P}
\newcommand{\Tau}{T}
\newcommand{\Upsi}{\Upsilon}
\newcommand{\omicron}{o}
\newcommand{\lang}{\langle}
\newcommand{\rang}{\rangle}
\newcommand{\Union}{\bigcup}
\newcommand{\Intersection}{\bigcap}
\newcommand{\Oplus}{\bigoplus}
\newcommand{\Otimes}{\bigotimes}
\newcommand{\Wedge}{\bigwedge}
\newcommand{\Vee}{\bigvee}
\newcommand{\coproduct}{\coprod}
\newcommand{\product}{\prod}
\newcommand{\closure}{\overline}
\newcommand{\integral}{\int}
\newcommand{\doubleintegral}{\iint}
\newcommand{\tripleintegral}{\iiint}
\newcommand{\quadrupleintegral}{\iiiint}
\newcommand{\conint}{\oint}
\newcommand{\contourintegral}{\oint}
\newcommand{\infinity}{\infty}
\newcommand{\bottom}{\bot}
\newcommand{\minusb}{\boxminus}
\newcommand{\plusb}{\boxplus}
\newcommand{\timesb}{\boxtimes}
\newcommand{\intersection}{\cap}
\newcommand{\union}{\cup}
\newcommand{\Del}{\nabla}
\newcommand{\odash}{\circleddash}
\newcommand{\negspace}{\!}
\newcommand{\widebar}{\overline}
\newcommand{\textsize}{\normalsize}
\renewcommand{\scriptsize}{\scriptstyle}
\newcommand{\scriptscriptsize}{\scriptscriptstyle}
\newcommand{\mathfr}{\mathfrak}
\newcommand{\statusline}[2]{#2}
\newcommand{\tooltip}[2]{#2}
\newcommand{\toggle}[2]{#2}

% Theorem Environments
\theoremstyle{plain}
\newtheorem{theorem}{Theorem}
\newtheorem{lemma}{Lemma}
\newtheorem{prop}{Proposition}
\newtheorem{cor}{Corollary}
\newtheorem*{utheorem}{Theorem}
\newtheorem*{ulemma}{Lemma}
\newtheorem*{uprop}{Proposition}
\newtheorem*{ucor}{Corollary}
\theoremstyle{definition}
\newtheorem{defn}{Definition}
\newtheorem{example}{Example}
\newtheorem*{udefn}{Definition}
\newtheorem*{uexample}{Example}
\theoremstyle{remark}
\newtheorem{remark}{Remark}
\newtheorem{note}{Note}
\newtheorem*{uremark}{Remark}
\newtheorem*{unote}{Note}

%-------------------------------------------------------------------

\begin{document}

%-------------------------------------------------------------------


\section*{ABJM theory}

\hypertarget{context}{}\subsubsection*{{Context}}\label{context}

\hypertarget{chernsimons_theory}{}\paragraph*{{$\infty$-Chern-Simons theory}}\label{chernsimons_theory}

[[!include infinity-Chern-Simons theory - contents]]

\hypertarget{string_theory}{}\paragraph*{{String theory}}\label{string_theory}

[[!include string theory - contents]]

\hypertarget{contents}{}\section*{{Contents}}\label{contents}

\noindent\hyperlink{idea}{Idea}\dotfill \pageref*{idea} \linebreak
\noindent\hyperlink{properties}{Properties}\dotfill \pageref*{properties} \linebreak
\noindent\hyperlink{adscft_duality}{AdS/CFT duality}\dotfill \pageref*{adscft_duality} \linebreak
\noindent\hyperlink{boundary_conditions}{Boundary conditions}\dotfill \pageref*{boundary_conditions} \linebreak
\noindent\hyperlink{related_concepts}{Related concepts}\dotfill \pageref*{related_concepts} \linebreak
\noindent\hyperlink{references}{References}\dotfill \pageref*{references} \linebreak


\hypertarget{idea}{}\subsection*{{Idea}}\label{idea}

The \emph{ABJM model} (\hyperlink{ABJM08}{ABJM 08}) is an $\mathcal{N} = 6$ [[3d superconformal gauge field theory]] involving [[Chern-Simons theory]] with [[gauge group]] [[special unitary group|SU(N)]] and [[minimal coupling|coupled]] to [[matter fields]]. For [[level (Chern-Simons theory)|Chern-Simons level]] $k$ it is supposed to describe the [[worldvolume]] theory of $N$ coincident [[black brane|black]] [[M2-branes]] at an $\mathbb{Z}/k$-[[cyclic group]] [[orbifold]] [[singularity]] with [[near-horizon geometry]] $AdS_4 \times S^7/(\mathbb{Z}/k)$ (see at \emph{\href{M2-brane#AsABlackBrane}{M2-branes -- As a black brane}}).

[[!include superconformal symmetry -- table]]

For $k = 2$ the supersymmetry of the ABJM model increases to $\mathcal{N} = 8$. For $k = 2$ and $N = 2$ the ABJM model reduces to the [[BLG model]] (\hyperlink{ABJM08}{ABJM 08, section 2.6}).

Due to the matter coupling, the ABJM model is no longer a [[topological field theory]] as pure Chern-Simons is, but it is still a [[conformal field theory]]. As such it is thought to correspond under [[AdS-CFT]] duality to [[M-theory]] on [[anti-de Sitter spacetime|AdS4]] $\times$ [[7-sphere|S7]]/$\mathbb{Z}/k$ (see also \hyperlink{MFFGME09}{MFFGME 09}).

Notice that the worldvolume $SU(N)$ gauge group enhancement at an $\mathbb{Z}_k$-[[ADE singularity]] is akin to the [[enhanced gauge symmetry|gauge symmetry enhancement]] of the [[effective field theory]] for [[M-theory on G2-manifolds]] at the same kind of singularities (see at \emph{\href{M-theory+on+G2-manifolds#EnhancedGaugeGroups}{M-theory on G2-manifolds -- Nonabelian gauge groups}}).

More generally, classification of the [[near horizon geometry]] of smooth (i.e. non-[[orbifold]]) $\geq \tfrac{1}{2}$ [[BPS state|BPS]] [[black brane|black]] [[M2-brane]]-solutions of the [[equations of motion]] of [[11-dimensional supergravity]] shows that these are the [[Cartesian product]] $AdS_4 \times (S^7/G)$ of 4-[[dimension|dimensional]] [[anti de Sitter spacetime]] with a 7-[[dimension|dimensional]] [[spherical space form]] $S^7/{\widehat{G}}$ with [[spin structure]] and $N \geq 4$, for $\widehat{G}$ a [[finite subgroup of SU(2)]] (\hyperlink{MFFGME09}{MFFGME 09}, see \href{spherical+space+form#7DSphericalSpaceFormsWithSpinStructure}{here}).

[[!include 7d spherical space forms -- table]]

\hypertarget{properties}{}\subsection*{{Properties}}\label{properties}

\hypertarget{adscft_duality}{}\subsubsection*{{AdS/CFT duality}}\label{adscft_duality}

Under [[holographic duality]] supposed to be related to [[11-dimensional supergravity|M-theory]] on $AdS_4 \times S^7 / \mathbb{Z}_k$.

\hypertarget{boundary_conditions}{}\subsubsection*{{Boundary conditions}}\label{boundary_conditions}

Discussion of [[boundary conditions]] of the BLG model, leading to [[brane intersection]] with [[M-wave]], [[M5-brane]] and [[MO9-brane]] is in (\hyperlink{ChuSmith09}{Chu-Smith 09}, \hyperlink{BPST09}{BPST 09}).

\hypertarget{related_concepts}{}\subsection*{{Related concepts}}\label{related_concepts}

\begin{itemize}%
\item [[BLG model]]


\item [[membrane matrix model]]



\end{itemize}
[[!include superconformal symmetry -- table]]

\hypertarget{references}{}\subsection*{{References}}\label{references}

The original article on the $N=6$-case is

\begin{itemize}%
\item [[Ofer Aharony]], [[Oren Bergman]], [[Daniel Jafferis]], [[Juan Maldacena]], \emph{$N=6$ superconformal Chern-Simons-matter theories, M2-branes and their gravity duals}, JHEP 0810:091,2008, \href{http://iopscience.iop.org/article/10.1088/1126-6708/2008/10/091/meta;jsessionid=FCE6764D4E19F3038C9530E50B057A56.c3.iopscience.cld.iop.org}{DOI:10.1088/1126-6708/2008/10/091} (\href{http://arxiv.org/abs/0806.1218}{arXiv:0806.1218})

\end{itemize}
and for [[discrete torsion]] in the [[supergravity C-field]] in

\begin{itemize}%
\item [[Ofer Aharony]], [[Oren Bergman]], [[Daniel Jafferis]], \emph{Fractional M2-branes}, JHEP 0811:043, 2008 (\href{https://arxiv.org/abs/0807.4924}{arXiv:0807.4924})

(on [[fractional M2-brane|fractional M2-branes]])



\end{itemize}
inspired by the $N=8$-case of the [[BLG model]]

\begin{itemize}%
\item [[Jonathan Bagger]], [[Neil Lambert]], \emph{Modeling Multiple M2's}, Phys. Rev. D75, 045020 (2007). (\href{http://arxiv.org/abs/hep-th/0611108}{hep-th/0611108}).


\item [[Jonathan Bagger]], [[Neil Lambert]], Phys. Rev. D77, 065008 (2008). (\href{http://arXiv.org/abs/0711.0955}{arXiv:0711.0955}).



\end{itemize}
with precursor considerations in

\begin{itemize}%
\item [[John Schwarz]], \emph{Superconformal Chern-Simons Theories} (\href{https://arxiv.org/abs/hep-th/0411077}{arXiv:arXiv:hep-th/0411077}

\end{itemize}
The $N=5$-case is discussed in

\begin{itemize}%
\item Kazuo Hosomichi, Ki-Myeong Lee, Sangmin Lee, Sungjay Lee, Jaemo Park, \emph{$N=5,6$ Superconformal Chern-Simons Theories and M2-branes on Orbifolds}, JHEP 0809:002, 2008 (\href{https://arxiv.org/abs/0806.4977}{arXiv:0806.4977})


\item [[Eric Bergshoeff]], [[Olaf Hohm]], Diederik Roest, [[Henning Samtleben]], [[Ergin Sezgin]], \emph{The Superconformal Gaugings in Three Dimensions}, JHEP0809:101, 2008 (\href{https://arxiv.org/abs/0807.2841}{arXiv:0807.2841})


\item [[Ofer Aharony]], [[Oren Bergman]], [[Daniel Jafferis]], \emph{Fractional M2-branes}, JHEP 0811:043, 2008 (\href{https://arxiv.org/abs/0807.4924}{arXiv:0807.4924})



\end{itemize}
The $N=4$-case is discussed in

\begin{itemize}%
\item Kazuo Hosomichi, Ki-Myeong Lee, Sangmin Lee, Sungjay Lee, Jaemo Park, \emph{N=4 Superconformal Chern-Simons Theories with Hyper and Twisted Hyper Multiplets}, JHEP 0807:091,2008 (\href{https://arxiv.org/abs/0805.3662}{arXiv:0805.3662})


\item Fa-Min Chen, Yong-Shi Wu, \emph{Superspace Formulation in a Three-Algebra Approach to D=3, N=4,5 Superconformal Chern-Simons Matter Theories}, Phys.Rev.D82:106012, 2010 (\href{https://arxiv.org/abs/1007.5157}{arXiv:1007.5157})



\end{itemize}
More on the role of [[discrete torsion]] in the [[supergravity C-field]] is in

\begin{itemize}%
\item [[Mauricio Romo]], \emph{Aspects of ABJM orbifolds with discrete torsion}, J. High Energ. Phys. (2011) 2011 (\href{https://arxiv.org/abs/1011.4733}{arXiv:1011.4733})

\end{itemize}
Discussion of [[boundary conditions]] leading to [[brane intersection]] laws with the [[M-wave]], [[black brane|black]] [[M5-brane]] and [[MO9]] is in

\begin{itemize}%
\item [[Chong-Sun Chu]], Douglas J. Smith, \emph{Multiple Self-Dual Strings on M5-Branes}, JHEP 1001:001, 2010 (\href{https://arxiv.org/abs/0909.2333}{arXiv:0909.2333})


\item [[David Berman]], Malcolm J. Perry, [[Ergin Sezgin]], Daniel C. Thompson, \emph{Boundary Conditions for Interacting Membranes}, JHEP 1004:025, 2010 (\href{https://arxiv.org/abs/0912.3504}{arXiv:0912.3504})



\end{itemize}
Review includes

\begin{itemize}%
\item [[Igor Klebanov]], Giuseppe Torri, \emph{M2-branes and AdS/CFT}, Int.J.Mod.Phys.A25:332-350, 2010 (\href{https://arxiv.org/abs/0909.1580}{arXiv;0909.1580})


\item Neil B. Copland, \emph{Introductory Lectures on Multiple Membranes} (\href{https://arxiv.org/abs/1012.0459}{arXiv:1012.0459})


\item [[Jonathan Bagger]], [[Neil Lambert]], [[Sunil Mukhi]], [[Constantinos Papageorgakis]], \emph{Multiple Membranes in M-theory}, Physics Reports, Volume 527, Issue 1, 2013 (\href{https://arxiv.org/abs/1203.3546}{arXiv:1203.3546}, \href{https://doi.org/10.1016/j.physrep.2013.01.006}{doi:10.1016/j.physrep.2013.01.006})


\item [[Neil Lambert]], \emph{M-Branes: Lessons from M2’s and Hopes for M5’s}, talk at \emph{\href{http://www.maths.dur.ac.uk/lms/109/index.html}{Higher Structures in M-Theory, Durham, August 2018}} (\href{http://www.maths.dur.ac.uk/lms/109/talks/1877lambert.pdf}{pdf slides}, \href{http://www.maths.dur.ac.uk/lms/109/movies/1877lamb.mp4}{video recording})



\end{itemize}
Discussion of [[Montonen-Olive duality]] in [[D=4 super Yang-Mills theory]] via [[ABJM-model]] as [[D3-brane]] model after [[double dimensional reduction]] followed by [[T-duality]]:

\begin{itemize}%
\item [[Koji Hashimoto]], Ta-Sheng Tai, Seiji Terashima, \emph{Toward a Proof of Montonen-Olive Duality via Multiple M2-branes}, JHEP 0904:025, 2009 (\href{https://arxiv.org/abs/0809.2137}{arxiv:0809.2137})

\end{itemize}
Discussion of extension to [[boundary field theory]] (describing [[M2-branes]] ending on [[M5-branes]]) includes

\begin{itemize}%
\item [[David Berman]], Daniel Thompson, \emph{Membranes with a boundary}, Nucl.Phys.B820:503-533,2009 (\href{http://arxiv.org/abs/0904.0241}{arXiv:0904.0241})

\end{itemize}
A kind of [[double dimensional reduction]] of the ABJM model to something related to [[type II superstrings]] and [[D1-branes]] is discussed in

\begin{itemize}%
\item [[Horatiu Nastase]], Constantinos Papageorgakis, \emph{Dimensional reduction of the ABJM model}, JHEP 1103:094,2011 (\href{http://arxiv.org/abs/1010.3808}{arXiv:1010.3808})

\end{itemize}
Discussion of the ABJM model in [[Horava-Witten theory]] and reducing to [[heterotic strings]] is in

\begin{itemize}%
\item [[Neil Lambert]], \emph{Heterotic M2-branes} (\href{http://arxiv.org/abs/1507.07931}{arXiv:1507.07931})

\end{itemize}
Discussion of the model as a [[higher gauge theory]] (due to its coupling to the [[supergravity C-field]]) is in

\begin{itemize}%
\item Sam Palmer, [[Christian Saemann]], section 2 of \emph{M-brane Models from Non-Abelian Gerbes}, JHEP 1207:010, 2012 (\href{http://arxiv.org/abs/1203.5757}{arXiv:1203.5757})


\item Sam Palmer, [[Christian Saemann]], \emph{The ABJM Model is a Higher Gauge Theory}, IJGMMP 11 (2014) 1450075 (\href{http://arxiv.org/abs/1311.1997}{arXiv:1311.1997})



\end{itemize}
Classification of the possible [[superpotentials]] via [[representation theory]] is due to

\begin{itemize}%
\item Paul de Medeiros, [[José Figueroa-O'Farrill]], [[Elena Méndez-Escobar]], \emph{Superpotentials for superconformal Chern-Simons theories from representation theory}, J. Phys. A 42:485204,2009 (\href{http://arxiv.org/abs/0908.2125}{arXiv:0908.2125})

\end{itemize}
and derived from this a classification of the possible [[orbifold|orbifolding]] (see at \emph{[[spherical space form]]: \href{spherical+space+form#7DSphericalSpaceFormsWithSpinStructure}{7d with spin structure}}) is in

\begin{itemize}%
\item Paul de Medeiros, [[José Figueroa-O'Farrill]], [[Sunil Gadhia]], [[Elena Méndez-Escobar]], \emph{Half-BPS quotients in M-theory: ADE with a twist}, JHEP 0910:038,2009 (\href{http://arxiv.org/abs/0909.0163}{arXiv:0909.0163}, \href{http://www.maths.ed.ac.uk/~jmf/CV/Seminars/YRM2010.pdf}{pdf slides})


\item Paul de Medeiros, [[José Figueroa-O'Farrill]], \emph{Half-BPS M2-brane orbifolds}, Adv. Theor. Math. Phys. Volume 16, Number 5 (2012), 1349-1408. (\href{http://arxiv.org/abs/1007.4761}{arXiv:1007.4761}, \href{https://projecteuclid.org/euclid.atmp/1408561553}{Euclid})


\item [[José Figueroa-O'Farrill]], \emph{M2-branes, ADE and Lie superalgebras}, talk at IPMU 2009 (\href{http://www.maths.ed.ac.uk/~jmf/CV/Seminars/Hongo.pdf}{pdf})



\end{itemize}
Discussion via the [[conformal bootstrap]]:

\begin{itemize}%
\item Nathan B. Agmon, Shai M. Chester, Silviu S. Pufu, \emph{The M-theory Archipelago} (\href{https://arxiv.org/abs/1907.13222}{arXiv:1907.13222})

\end{itemize}
See also

\begin{itemize}%
\item Nadav Drukker, [[Marcos Marino]], Pavel Putrov, \emph{From weak to strong coupling in ABJM theory} (\href{http://arxiv.org/abs/1007.3837}{arXiv:1007.3837})


\item Shai M. Chester, Silviu S. Pufu, Xi Yin, \emph{The M-Theory S-Matrix From ABJM: Beyond 11D Supergravity} (\href{https://arxiv.org/abs/1804.00949}{arXiv:1804.00949})



\end{itemize}
Computation of [[black hole entropy]] in 4d via [[AdS4-CFT3 duality]] from [[holographic entanglement entropy]] in the ABJM theory for the [[M2-brane]] is discussed in

\begin{itemize}%
\item Jun Nian, Xinyu Zhang, \emph{Entanglement Entropy of ABJM Theory and Entropy of Topological Black Hole} (\href{https://arxiv.org/abs/1705.01896}{arXiv:1705.01896})

\end{itemize}
Discussion of [[higher curvature corrections]] in the abelian case:

\begin{itemize}%
\item Shin Sasaki, \emph{On Non-linear Action for Gauged M2-brane}, JHEP 1002:039, 2010 (\href{https://arxiv.org/abs/0912.0903}{arxiv:0912.0903})

\end{itemize}
[[!redirects ABJM model]] [[!redirects ABJM-model]]

[[!redirects D=3 SCFT]]



\end{document}