\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*{2017-18} 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_2017_schedule}{}\subsection*{{Fall 2017 Schedule}}\label{fall_2017_schedule} \begin{tabular}{r|l|l} Date&Speaker&Topic\\ \hline 8/30&&Organizational Meeting\\ 9/6&&Introduction + \href{http://scgp.stonybrook.edu/video_portal/video.php?id=3271}{Komargodski video} (pt 1)\\ 9/13&&\href{http://scgp.stonybrook.edu/video_portal/video.php?id=3271}{Komargodski video} (pt 2)\\ 9/20&Ivan Tulli&anomalies, part 1\\ 9/27&Sebastian Schulz&anomalies, part 2\\ 10/4&Sebastian Schulz&anomalies, part 4\\ 10/11&Arun Debray&anomalies in discrete symmetries\\ 10/18&Arun Debray&anomalies in discrete symmetries, 2\\ 10/25&Fei Yan&Generalized Global Symmetries, Part I\\ 11/1&Philip Argyres&\\ 11/8&Fei \& Ravi&Generalized Global Symmetries, Part II\\ 11/15&Ravi Mohan&Generalized Global Symmetries, Part III\\ 11/29&Clay Cordova&\\ 12/6&Ali Shehper&Comments on global symmetries, anomalies and dualities - I\\ \end{tabular} $\,$ \hypertarget{spring_2018_schedule}{}\subsection*{{Spring 2018 Schedule}}\label{spring_2018_schedule} \begin{tabular}{r|l|l} Date&Speaker&Topic\\ \hline 1/17&&Organizational Meeting and Discussion\\ 1/24&Val Zakharevich&Comments on global symmetries, anomalies and dualities - II\\ 1/31&Dan Freed&On gauging finite subgroups\\ 2/7&Andy Neitzke&Theta, time reversal, and temperature I\\ 2/14&Andy Neitzke&Theta, time reversal, and temperature II\\ 2/21&Fei Yan&Theta, time reversal, and temperature III\\ 2/28&Arun Debray&2-groups\\ 3/7&Jacques Distler&Phases of $\mathrm{QCD}_4$, I\\ 3/21&Chris Beem&TBA\\ 3/28&Mario Martone&Phases of $\mathrm{QCD}_4$, II\\ 4/4&Mario Martone&Phases of $\mathrm{QCD}_4$ III\\ 4/11&Ali Shehper&Phases of $\mathrm{QCD}_3$\\ 4/18&Andy Neitzke&Abelianization of Chern-Simons\\ 4/25&Sebastian Schulz&On 2-Group Global Symmetries and Their Anomalies - I\\ 5/2&Ali Shehper&On 2-Group Global Symmetries and Their Anomalies - II\\ \end{tabular} $\,$ \hypertarget{references}{}\subsection*{{References}}\label{references} \hypertarget{higher_symmetries_anomalymatching_and_phases_of_qcd}{}\paragraph*{{(Higher) Symmetries, Anomaly-Matching and Phases of QCD}}\label{higher_symmetries_anomalymatching_and_phases_of_qcd} \begin{itemize}% \item A. Kapustin, R. Thorngren, ``\href{https://arxiv.org/abs/1404.3230}{Anomalies of discrete symmetries in various dimensions and group cohomology}'' \item D. Gaiotto, A. Kapustin, N. Seiberg and B. Willett, ``\href{https://arxiv.org/abs/1412.5148}{Generalized Global Symmetries}'' \item F. Benini, P. Hsin and N. Seiberg, ``\href{https://arxiv.org/abs/1702.07035}{Comments on global symmetries, anomalies, and duality in (2+1)d}'' \item D. Gaiotto, A. Kapustin, Z. Komargodski and N. Seiberg, ``\href{https://arxiv.org/abs/1703.00501}{Theta, Time Reversal, and Temperature}'' \item Z. Komargodski and N. Seiberg, ``\href{https://arxiv.org/abs/1706.08755}{A Symmetry Breaking Scenario for $\text{QCD}_3$}'' \item D. S. Freed, Z. Komargodski, N. Seiberg, ``\href{https://arxiv.org/abs/1707.05448}{The Sum Over Topological Sectors and θ in the 2+1-Dimensional CP¹ σ-Model}'' \item D. Gaiotto, Z. Komargodski and N. Seiberg, ``\href{https://arxiv.org/abs/1708.06806}{Time-Reversal Breaking in $\text{QCD}_4$, Walls, and Dualities in 2+1 Dimensions}'' \item J. Gomis, Z. Komargodski, N. Seiberg, ``\href{https://arxiv.org/abs/1710.03258}{Phases of adjoint $\text{QCD}_3$ and dualities}'' \item C. Cordova, P.-S. Hsin, N. Seiberg, ``\href{https://arxiv.org/abs/1712.08639}{Time-reversal symmetry, anomalies, and dualities in (2+1)d}'' \item Y. Tachikawa, ``\href{https://arxiv.org/abs/1712.09542}{On gauging finite subgroups}'' \item D. M. Hofman, N. Iqbal, ``\href{https://arxiv.org/abs/1707.08577}{Generalized global symmetries and holography}'' \end{itemize} \hypertarget{mathematics_papers_on_2groups}{}\paragraph*{{Mathematics Papers on 2-Groups}}\label{mathematics_papers_on_2groups} \begin{itemize}% \item G. C. Baez, A. D. Lauda, ``\href{https://arxiv.org/abs/math/0307200}{Higher-dimensional algebra V: 2-groups}'' \item C. J. Schommer-Pries, ``\href{https://arxiv.org/abs/0911.2483}{Central extension of smooth 2-groups and a finite-dimensional string 2-group}'' \end{itemize} \end{document}