\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{tikz} \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} \Decl@Mn@Open{\llbracket}{stmry}{'112} \Decl@Mn@Close{\rrbracket}{stmry}{'113} \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*{Fall 2014} This is the homepage for the UT Geometry and String Theory Seminar. At the organizational meeting we will flesh out the details of our plans for the semester. Below are some suggestions to get us started. \hypertarget{fall_2014_schedule}{}\subsection*{{Fall 2014 Schedule}}\label{fall_2014_schedule} \begin{tabular}{r|l|l} Date&Speaker&Topic\\ \hline 8/27&&Organizational Meeting\\ 9/3&Eric Zaslow&Legendrian Knots and Constructible Sheaves\\ 9/10&Andy Trimm&Aharony-Seiberg-Tachikawa\\ 9/17&Andy Neitzke&Dessins and Seiberg-Witten curves\\ 9/24&Andy Royston&singular monopole moduli spaces\\ 10/1&Aaron Fenyes&semiclassical quantization of classical field theory\\ 10/8&Eric Korman&Branes and Quantization (Gukov-Witten)\\ 10/15&&\\ 10/22&Tom Mainiero&Algebraic equations and BPS states\\ 10/29&Bei Jia&Branes and Flag Manifolds\\ 11/5&Chan Park&A stroll along the walls\\ 11/12&Chris Beem&Chiral algebras from four dimensions\\ 11/19&Wenbin Yan&TBA\\ 12/3&Jacques Distler&TBA\\ \end{tabular} \hypertarget{references}{}\subsubsection*{{References}}\label{references} \hypertarget{the_20_theory_reduced_to_3_dimensions}{}\paragraph*{{The (2,0) theory reduced to 3 dimensions}}\label{the_20_theory_reduced_to_3_dimensions} \begin{itemize}% \item Dimofte, Gaiotto, Gukov, \href{http://arxiv.org/abs/1108.4389}{Gauge Theories Labelled by 3-Manifolds} \item Cecotti, Cordova, Vafa, \href{http://arxiv.org/abs/1110.2115}{Braids, Walls and Mirrors} \end{itemize} \hypertarget{4d_}{}\paragraph*{{4D $\mathcal{N}=2$}}\label{4d_} \begin{itemize}% \item N. Nekrasov and V. Pestun, \href{http://arxiv.org/abs/1211.2240}{Seiberg-Witten geometry of four dimensional N=2 quiver gauge theories} \item Nekrasov, Pestun and Shatashvili, \href{http://arxiv.org/abs/1312.6689}{Quantum geometry and quiver gauge theories} \end{itemize} \hypertarget{extended_operators_in_topological_field_theory}{}\paragraph*{{Extended operators in topological field theory}}\label{extended_operators_in_topological_field_theory} \begin{itemize}% \item Aharony, Seiberg and Tachikawa, \href{http://arxiv.org/abs/1305.0318}{Reading between the lines of four-dimensional gauge theories} \item Gukov and Kapustin, \href{http://arxiv.org/abs/1307.4793}{Topological Quantum Field Theory, Nonlocal Operators, and Gapped Phases of Gauge Theories} \item Seiberg and Kapustin, \href{http://arxiv.org/abs/1401.0740}{Coupling a QFT to a TQFT and Duality} \end{itemize} \hypertarget{generalities_on_field_theory}{}\paragraph*{{Generalities on field theory}}\label{generalities_on_field_theory} \begin{itemize}% \item Abdesselam, \href{http://arxiv.org/abs/1311.4897}{QFT, RG, and all that, for mathematicians, in eleven pages} \item Cattaneo, Mnev, Reshetikhin, \href{http://arxiv.org/abs/1311.2490}{Semiclassical quantization of classical field theories} \item Bilal, Ferrari, \href{http://arxiv.org/abs/1307.1689}{Multi-Loop Zeta Function Regularization and Spectral Cutoff in Curved Spacetime} \end{itemize} \hypertarget{resurgence_tqfts}{}\paragraph*{{Resurgence, TQFTs}}\label{resurgence_tqfts} \begin{itemize}% \item R. Couso-Santamaría, J. Edelstein, R. Schiappa, M. Vonk, \href{http://arxiv.org/abs/arXiv:1407.4821}{Resurgent Transseries and the Holomorphic Anomaly: Nonperturbative Closed Strings in Local $\mathbb{CP}^2$} \item P. Argyres and M. Unsal, \href{http://arxiv.org/abs/arXiv:1206.1890}{The semi-classical expansion and resurgence in gauge theories: new perturbative, instanton, bion, and renormalon effects} \end{itemize} \hypertarget{_scfts_in_6_dimensions}{}\paragraph*{{$(1,0)$ SCFTs in 6 Dimensions}}\label{_scfts_in_6_dimensions} \begin{itemize}% \item J. Heckman, D. Morrison, C. Vafa, \href{http://arxiv.org/abs/arXiv:1312.5746}{On the Classification of 6D SCFTs and Generalized ADE Orbifolds} \item M. Del Zotto, J. Heckman, A. Tomasiello, C. Vafa, \href{http://arxiv.org/abs/arXiv:1407.6359}{6d Conformal Matter} \end{itemize} \hypertarget{costellostyle_qft}{}\paragraph*{{Costello-style QFT}}\label{costellostyle_qft} \begin{itemize}% \item Costello and Scheimbauer, \href{http://arxiv.org/abs/1401.2676}{Lectures on mathematical aspects of (twisted) supersymmetric gauge theories} \item T. Nguyen, \href{http://arxiv.org/abs/arXiv:1408.4466}{Quantization of the Nonlinear Sigma Model Revisited} \end{itemize} \hypertarget{miscellany}{}\paragraph*{{Miscellany}}\label{miscellany} \begin{itemize}% \item K. Ohmori and Y. Tachikawa, \href{http://arxiv.org/abs/arXiv:1406.4167}{Physics at the entangling surface} \item K. Maruyoshi, Y. Tachikawa, W. Yan, K. Yonekura, \href{http://arxiv.org/abs/arXiv:1308.0064}{Dynamical Supersymmetry Breaking with T\_N Theory} \item S. Ashok, F. Cachazo, E. Dell'Aquila, \href{http://arxiv.org/abs/hep-th/0611082}{Children…™s Drawings From Seiberg-Witten Curves} \end{itemize} \hypertarget{old_classics}{}\paragraph*{{Old classics}}\label{old_classics} \begin{itemize}% \item E. Witten, Supersymmetry and Morse theory \item Mirzakhani on Witten conjecture \end{itemize} \end{document}