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\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*{duality between heterotic and type II string theory} \hypertarget{context}{}\subsubsection*{{Context}}\label{context} \hypertarget{duality_in_string_theory}{}\paragraph*{{Duality in string theory}}\label{duality_in_string_theory} [[!include duality in string 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{References}{References}\dotfill \pageref*{References} \linebreak \hypertarget{idea}{}\subsection*{{Idea}}\label{idea} A [[duality in string theory]] relating [[heterotic string theory]] to [[type II string theory]] via [[KK-compactification]] on [[K3-surfaces]]. This is the archetypical example of [[string-string duality]]. The [[non-perturbative effect|non-perturbative]] enhancement of this is [[duality between heterotic string theory and M/F-theory]]. \hypertarget{References}{}\subsection*{{References}}\label{References} Precursor articles: \begin{itemize}% \item [[Paul Townsend]], \emph{A New Anomaly Free Chiral Supergravity Theory From Compactification on K3}, Phys.Lett. 139B (1984) 283-287 (\href{http://inspirehep.net/record/14293}{spire:14293}) \item [[Michael Green]], [[John Schwarz]] [[Peter West]], \emph{Anomaly-free chiral theories in six dimensions}, Nuclear Physics B Volume 254, 1985, Pages 327-348 () \end{itemize} Original articles \begin{itemize}% \item [[Michael Duff]], [[Ruben Minasian]], \emph{Putting string/string duality to the test}, Nucl.Phys. B436 (1995) 507-528 (\href{https://arxiv.org/abs/hep-th/9406198}{arXiv:hep-th/9406198}) \item [[Chris Hull]], [[Paul Townsend]], Section 6 of \emph{Unity of Superstring Dualities}, Nucl.Phys.B438:109-137, 1995 (\href{https://arxiv.org/abs/hep-th/9410167}{arXiv:hep-th/9410167}) \item [[Ashoke Sen]], \emph{String string duality conjecture in six dimensions and charged solitonic strings}, Nucl.Phys.B450:103-114, 1995 (\href{https://arxiv.org/abs/hep-th/9504027}{arXiv:hep-th/9504027}) \item K. Davis, \emph{M-Theory and String-String Duality} (\href{https://arxiv.org/abs/hep-th/9601102}{arXiv:hep-th/9601102}) \end{itemize} Survey: \begin{itemize}% \item [[Paul Aspinwall]], \emph{K3 Surfaces and String Duality} (\href{https://arxiv.org/abs/hep-th/9611137}{arXiv:hep-th/9611137}) \end{itemize} Specifically in view of [[moonshine]]: \begin{itemize}% \item S. Chaudhuri, D.A. Lowe, \emph{Monstrous String-String Duality}, Nucl.Phys.B469:21-36, 1996 (\href{https://arxiv.org/abs/hep-th/9512226}{arXiv:hep-th/9512226}) \item [[Miranda Cheng]], Sarah M. Harrison, [[Roberto Volpato]], Max Zimet, \emph{K3 String Theory, Lattices and Moonshine}, Research in the Mathematical Sciences 2018 5:32 (\href{https://arxiv.org/abs/1612.04404}{arXiv:1612.04404}, \href{https://doi.org/10.1007/s40687-018-0150-4}{doi:10.1007/s40687-018-0150-4}) \end{itemize} Relation to [[little string theory]]: \begin{itemize}% \item [[Ofer Aharony]], Bartomeu Fiol, David Kutasov, David A. Sahakyan, \emph{Little String Theory and Heterotic/Type II Duality}, Nucl. Phys. B679:3-65, 2004 (\href{https://arxiv.org/abs/hep-th/0310197}{arXiv:hep-th/0310197}) \end{itemize} Further developments: \begin{itemize}% \item I. Antoniadis, E. Gava, K.S. Narain, T.R. Taylor, \emph{N=2 Type II- Heterotic duality and Higher derivative F-terms} (\href{https://arxiv.org/abs/hep-th/9507115}{arXiv:hep-th/9507115}) \item [[Oren Bergman]], [[Matthias Gaberdiel]], \emph{Non-BPS States in Heterotic - Type IIA Duality} (\href{https://arxiv.org/abs/hep-th/9901014}{arXiv:hep-th/9901014}) \item [[Jan Louis]], Roberto Valandro, \emph{Heterotic-Type II duality in the hypermultiplet sector}, JHEP05 (2012) 016 (\href{https://arxiv.org/abs/1112.3566}{arXiv:1112.3566}) \item Sergei Alexandrov, Boris Pioline, \emph{Heterotic-type II duality in twistor space} (\href{https://arxiv.org/abs/1210.3037}{arXiv:1210.3037}) \item [[Eric Bergshoeff]], C. Condeescu, G. Pradisi, F. Riccioni, \emph{Heterotic-Type II duality and wrapping rules}, JHEP12(2013) 057 (\href{https://arxiv.org/abs/1311.3578}{arXiv:1311.3578}) \item Sergei Alexandrov, Jan Louis, Boris Pioline, Roberto Valandro, \emph{N=2 Heterotic-Type II duality and bundle moduli}, JHEP08 (2014) 092 (\href{https://arxiv.org/abs/1405.4792}{arXiv:1405.4792}) \item [[Andreas Braun]], Taizan Watari, \emph{Heterotic-Type IIA Duality and Degenerations of K3 Surfaces}, JHEP08 (2016) 034 (\href{https://arxiv.org/abs/1604.06437}{arXiv:1604.06437}) \end{itemize} [[!redirects duality between type II and heterotic string theory]] [[!redirects II - HET]] [[!redirects II - HET duality]] [[!redirects HET - II]] [[!redirects HET - II duality]] \end{document}