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\section*{books about string theory}

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

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

[[!include string theory - contents]]

This page lists literature on \emph{[[string theory]]}.

(See also at \emph{[[string theory FAQ]]}.)

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

\noindent\hyperlink{mathematically_inclined_monographs_about_string_theory}{Mathematically inclined monographs about string theory}\dotfill \pageref*{mathematically_inclined_monographs_about_string_theory} \linebreak
\noindent\hyperlink{MainstreamPhysicsMonographs}{Mainstream physics monographs}\dotfill \pageref*{MainstreamPhysicsMonographs} \linebreak
\noindent\hyperlink{more_elementary}{More elementary}\dotfill \pageref*{more_elementary} \linebreak
\noindent\hyperlink{more_advanced}{More advanced}\dotfill \pageref*{more_advanced} \linebreak
\noindent\hyperlink{physics_lecture_notes}{Physics lecture notes}\dotfill \pageref*{physics_lecture_notes} \linebreak
\noindent\hyperlink{popular_level_books_and_string_propaganda}{Popular level books and string propaganda}\dotfill \pageref*{popular_level_books_and_string_propaganda} \linebreak
\noindent\hyperlink{big_mathematically_inclined_surveys}{Big mathematically inclined surveys}\dotfill \pageref*{big_mathematically_inclined_surveys} \linebreak
\noindent\hyperlink{history}{History}\dotfill \pageref*{history} \linebreak
\noindent\hyperlink{other_lists_of_bibliography}{Other lists of bibliography}\dotfill \pageref*{other_lists_of_bibliography} \linebreak


\hypertarget{mathematically_inclined_monographs_about_string_theory}{}\subsection*{{Mathematically inclined monographs about string theory}}\label{mathematically_inclined_monographs_about_string_theory}

There is to date no textbook on string theory genuinely digestible by the standard pure mathematician. Even those that claim to be are not, as experience shows. But here are some books that make a strong effort to go beyond the vagueness of the ``mainstream'' books, which are listed further below.

\begin{itemize}%
\item Miranda Cheng, \emph{Mathematical tools for string theorists}, lecture notes 2013 (\href{http://www.math.jussieu.fr/~chengm/lecture_notes/Thalys_School.pdf}{pdf})

This is an elementary set of lecture notes introducing the required basics of [[differential geometry]] ending with [[2d CFT]], the [[Witten genus]] and [[orbifolds]].


\item [[Pierre Deligne]], [[Pavel Etingof]], [[Dan Freed]], L. Jeffrey, [[David Kazhdan]], [[John Morgan]], D.R. Morrison and [[Edward Witten]] (eds). \emph{[[Quantum Fields and Strings]], A course for mathematicians}, 2 vols. Amer. Math. Soc. Providence 1999. (\href{http://www.math.ias.edu/qft}{web version})

This is a long collection of (in parts) long lectures by many top string theorists and also by some genuine top mathematicians. Correspondingly it covers a lot of ground, while still being introductory. Especially towards the beginning there is a strong effort towards trying to formalize or at least systematize much of the standard lore. But one can see that eventually the task of doing that throughout had been overwhelming. Nevertheless, this is probably the best source that there is out there. If you only ever touch a single book on string theory, touch this one.


\item [[Leonardo Castellani]], [[Riccardo D'Auria]], [[Pietro Fre]], \emph{[[Supergravity and Superstrings - A Geometric Perspective]]}

This focuses on the discussion of [[supergravity]]-aspects of string theory from the point of view of the [[D'Auria-Fre formulation of supergravity]]. Therefore, while far, far from being written in the style of a mathematical treatise, this book stands out as making a consistent proposal for what the central ingredients of a mathematical formalization might be: as explained at the above link, secretly this book is all about describing supergravity in terms of [[connection on an infinity-bundle|infinity-connections]] with values in [[super L-infinity algebra]]s such as the [[supergravity Lie 3-algebra]].


\item [[Hisham Sati]], [[Urs Schreiber]], \emph{[[schreiber:Mathematical Foundations of Quantum Field and Perturbative String Theory]]}, Proceedings of Symposia in Pure Mathematics, AMS (2011)

This volume tries to give an impression of the rather recent massive progress that has happened in the mathematical understanding of fundamental ingredients of perturbative string theory, revolving around the proof of the [[cobordism hypothesis]] and related topics of [[higher category theory and physics]]. This is not an introductory textbook, even though some contributions do contain introductory material. Rather, this is meant to be read by people who already understand the basic idea of string theory and would like to see what the mathematical picture behind it all is going to be.


\item Igor V. Dolgachev, \href{http://www.math.lsa.umich.edu/~idolga/lecturenotes.html}{Introduction to string theory}


\item [[Paul Aspinwall]], [[Tom Bridgeland]], Alastair Craw, [[Michael Douglas]], Mark Gross, \emph{Dirichlet branes and mirror symmetry}, Amer. Math. Soc. Clay Math. Institute 2009.



\end{itemize}
See also

\begin{itemize}%
\item [[Gregory Moore]], \emph{[[The Impact of D-Branes on Mathematics]]}, talk at \href{http://online.kitp.ucsb.edu/online/joefest-c14/}{PolchinskiFest 2014} (\href{http://www.physics.rutgers.edu/~gmoore/JOEFEST-THOUGHTS.pdf}{pdf})


\item [[Gregory Moore]], \emph{[[Physical Mathematics and the Future]]}, talk at \href{http://physics.princeton.edu/strings2014/}{Strings 2014} (\href{http://physics.princeton.edu/strings2014/slides/Moore.pdf}{talk slides}, \href{http://www.physics.rutgers.edu/~gmoore/PhysicalMathematicsAndFuture.pdf}{companion text pdf}, [[MooreVisionTalk2014.pdf:file]])



\end{itemize}
\hypertarget{MainstreamPhysicsMonographs}{}\subsection*{{Mainstream physics monographs}}\label{MainstreamPhysicsMonographs}

\hypertarget{more_elementary}{}\subsubsection*{{More elementary}}\label{more_elementary}

\begin{itemize}%
\item [[Jan Troost]], \emph{\href{http://www.phys.ens.fr/~troost/beyondstringtheory/index2.html}{Beyond String Theory}}

(rough survey for laymen)


\item [[Barton Zwiebach]], \emph{A first course in string theory}, Cambridge University Press (2009)

(meant to be a course for undergraduates)


\item [[Katrin Becker]], [[Melanie Becker]], [[John Schwarz]], \emph{String theory and M-theory: a modern introduction}, Cambridge University Press (2006) (\href{http://inspirehep.net/record/744404}{spire:744404})


\item [[Elias Kiritsis]], \emph{String theory in a nutshell}, Princeton UP 2007, 608 pp. (\href{http://press.princeton.edu/titles/8456.html}{description}); 1998 early version \emph{Introduction to superstring theory} (244 pp) is available as \href{http://xxx.lanl.gov/abs/hep-th/9709062}{hep-th/9709062}


\item [[Michael Dine]], \emph{Supersymmetry and string theory: beyond the standard model}, Cambridge University Press 2006, 2007


\item [[Gordon Kane]], \emph{String theory and the real world}, Morgan \& Claypool, 2017 ()



\end{itemize}
\hypertarget{more_advanced}{}\subsubsection*{{More advanced}}\label{more_advanced}

\begin{itemize}%
\item [[Michael Green]], [[John Schwarz]], [[Edward Witten]], \emph{Superstring theory}, 3 vols. Cambridge Monographs on Mathematical Physics 1988


\item [[Joseph Polchinski]], \emph{[[String theory]]}, 2 vols. , Cambridge University Press, 1998


\item [[Joseph Polchinski]], \emph{Joe's Little Book of String}, class notes, UCSB Phys 230A, String Theory, Winter 2010, \href{http://www.kitp.ucsb.edu/sites/default/files/users/joep/JLBS.pdf}{pdf}


\item [[Peter West]], \emph{[[Introduction to Strings and Branes]]}, Cambridge University Press 2012


\item [[Alexander Polyakov]], \emph{Gauge fields and strings},


\item Brian Hatfield, \emph{Quantum field theory of point particles and strings}, Frontiers in Physics, 752 pages, Westview Press 1998


\item [[Clifford Johnson]], \emph{D-branes}


\item [[Richard Szabo]], \emph{An introduction to string theory and D-brane dynamics}


\item  .. ``      '' \href{http://www.stringworld.ru/files/Ketov_S.V._Vvedenie_v_kvantovuju_teoriju_strun_i_superstrun.djvu}{djvu}


\item [[Luis Ibáñez]], [[Angel Uranga]], \emph{[[String Theory and Particle Physics -- An Introduction to String Phenomenology]]}, Cambridge University Press 2012



\end{itemize}
\hypertarget{physics_lecture_notes}{}\subsection*{{Physics lecture notes}}\label{physics_lecture_notes}

\begin{itemize}%
\item E. Alvarez, P. Meessen, \emph{String primer} (\href{http://arxiv.org/abs/hep-th/9810240}{hep-th/9810240})


\item David Tong, \emph{Lectures on string theory} (\href{http://front.math.ucdavis.edu/0908.0333}{arxiv/0908.0333})


\item [[Clifford Johnson]], \emph{D-Brane primer} (\href{http://arxiv.org/abs/hep-th/0007170}{arXiv:hep-th/0007170})


\item [[Michael Douglas]], [[Elias Kiritsis]] et. al. (eds.), \emph{[[String theory and the real world]]}, Les Houches Session LXXXVII 2007



\end{itemize}
\hypertarget{popular_level_books_and_string_propaganda}{}\subsection*{{Popular level books and string propaganda}}\label{popular_level_books_and_string_propaganda}

\begin{itemize}%
\item [[Brian Greene]], \emph{The elegant universe: superstrings, hidden dimensions, and the quest for the ultimate theory}


\item Michio Kaku, various volumes


\item video and slides of Witten's KITP overview \href{http://online.itp.ucsb.edu/online/kitp25/witten}{Future of String Theory}



\end{itemize}
\hypertarget{big_mathematically_inclined_surveys}{}\subsection*{{Big mathematically inclined surveys}}\label{big_mathematically_inclined_surveys}

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


\item [[Anton Kapustin]], [[Dmitri Orlov|D. O. Orlov]], \emph{Lectures on mirror symmetry, derived categories, and $D$-branes}, Russian Mathematical Surveys, 2004, 59:5, 907--940 (Russian version: \href{http://www.mathnet.ru/php/getFT.phtml?jrnid=rm&paperid=772&volume=59&year=2004&issue=5&fpage=101&what=fullt&option_lang=eng}{pdf}, arxiv version: \href{http://arxiv.org/abs/math.AG/0308173}{arxiv:math.AG/0308173}).



\end{itemize}
\hypertarget{history}{}\subsection*{{History}}\label{history}

\begin{itemize}%
\item [[Mike Duff]], \emph{[[The World in Eleven Dimensions]]: Supergravity, Supermembranes and M-theory} IoP 1999


\item Andrea Cappelli, Elena Castellani, Filippo Colomo, Paolo Di Vecchia (eds.), \emph{The Birth of String Theory} Cambridge University Press (2012). (\href{http://theory.fi.infn.it/colomo/string-book/}{additional material}, \href{http://www.cambridge.org/gb/knowledge/isbn/item5979248/?site_locale=en_GB}{publisher webpage})



\end{itemize}
\hypertarget{other_lists_of_bibliography}{}\subsection*{{Other lists of bibliography}}\label{other_lists_of_bibliography}

\begin{itemize}%
\item \href{http://www.stringwiki.org/w/index.php?title=String_Theory_Wiki}{String Theory Wiki}


\item [[books and reviews in mathematical physics]]


\item AdS/CFT \href{http://www.personal.uni-jena.de/~p5thul2/notes/adscft.html}{list} in Jena (see also nlab page [[AdS-CFT]]).



\end{itemize}
category: reference

[[!redirects books about string theory]] [[!redirects books on string theory]]



\end{document}