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\begin{document}

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\section*{M-brane}

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

\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{reduction_to_strings_dbranes_and_ns5branes}{Reduction to strings, D-branes and NS5-branes}\dotfill \pageref*{reduction_to_strings_dbranes_and_ns5branes} \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}

There are two types of [[black brane]] solutions in [[11-dimensional supergravity]], one of dimension $2+1$, one of dimension 5+1. These are thought to correspond to a fundamental 2-brane and its [[electric-magnetic duality|EM dual]], called the

\begin{itemize}%
\item [[M2-brane]] ([[fractional M2-brane]])


\item [[M5-brane]] ([[half M5-brane]])


\item [[MK6-brane]]


\item [[MO9-brane]]


\item [[M-wave]]



\end{itemize}
The M2-brane carries [[electric charge]] under the [[supergravity C-field]]. The M5-brane is the dual magnetic charge.

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

\hypertarget{reduction_to_strings_dbranes_and_ns5branes}{}\subsubsection*{{Reduction to strings, D-branes and NS5-branes}}\label{reduction_to_strings_dbranes_and_ns5branes}

[[!include F-branes -- table]]

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

\begin{itemize}%
\item [[anti M-brane]]


\item [[M2-M5 brane bound state]]



\end{itemize}
[[!include table of branes]]

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

The relevant literature until 1999 is collected in

\begin{itemize}%
\item [[Mike Duff]], \emph{[[The World in Eleven Dimensions]]: Supergravity, Supermembranes and M-theory}, IoP 1999 (\href{https://www.crcpress.com/The-World-in-Eleven-Dimensions-Supergravity-supermembranes-and-M-theory/Duff/9780750306720}{publisher})

\end{itemize}
See also the references at \emph{[[M-theory]]} and at \emph{[[M2-brane]]}, \emph{[[M5-brane]]}, \emph{[[M9-brane]]}.

Review of some [[black brane]]-aspects of M-branes includes

\begin{itemize}%
\item [[David Berman]], \emph{M-theory branes and their interactions}, Phys. Rept. 456:89-126, 2008 (\href{http://arxiv.org/abs/0710.1707}{arXiv:0710.1707})

\end{itemize}
Discussion of plenty of [[cohomology|cohomological]] structures involved in M-brane physics is in

\begin{itemize}%
\item [[Hisham Sati]], \emph{[[Geometric and topological structures related to M-branes]]}, 2010

\end{itemize}
Discussion of [[M-brane]] physics in terms of [[equivariant rational homotopy theory|rational equivariant]] [[cohomotopy]] is in

\begin{itemize}%
\item [[John Huerta]], [[Hisham Sati]], [[Urs Schreiber]], \emph{[[schreiber:Equivariant homotopy and super M-branes|Real ADE-equivariant (co)homotopy and Super M-branes]]} (\href{https://arxiv.org/abs/1805.05987}{arXiv:1805.05987})

\end{itemize}
The [[brane intersection]] laws of M-branes are discussed in

\begin{itemize}%
\item [[Eric Bergshoeff]], M. Roo, E. Eyras, [[Bert Janssen]], J. P. Schaar, \emph{Intersections involving waves and monopoles in eleven dimensions}, Class. Quantum Grav. 14 2757 (\href{http://iopscience.iop.org/0264-9381/14/10/005/}{publisher})


\item [[Eric Bergshoeff]], [[Joaquim Gomis]], [[Paul Townsend]], \emph{M-brane intersections from worldvolume superalgebras}, Phys.Lett. B421 (1998) 109-118 (\href{http://arxiv.org/abs/hep-th/9711043}{arXiv:hep-th/9711043})


\item [[Paul Townsend]], section 4 of \emph{M-theory from its superalgebra} (\href{http://arxiv.org/abs/hep-th/9712004}{arXiv:hep-th/9712004})



\end{itemize}
Suppposed analogy with D-brane descent in K-theory (see \href{D-brane#OlsenSzabo00}{there}) is discussed here:

\begin{itemize}%
\item Laurent Houart, Yolanda Lozano, \emph{Brane Descent Relations in M-theory}, Phys.Lett. B479 (2000) 299-307 (\href{https://arxiv.org/abs/hep-th/0001170}{arXiv:hep-th/0001170})

\end{itemize}
Further references include

\begin{itemize}%
\item [[Arkady Tseytlin]], \emph{Harmonic superpositions of M-branes}, Nucl.Phys.B475:149-163,1996 (\href{https://arxiv.org/abs/hep-th/9604035}{arXiv:hep-th/9604035})


\item Chan Park, \emph{2d SCFT from M-branes and its spectral network} (\href{http://theory.caltech.edu/~chan/documents/2013_String_Math_proceedings.pdf}{pdf})



\end{itemize}
[[!redirects M-branes]]



\end{document}