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\section*{Spring 2016}

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{spring_2016_schedule}{}\subsection*{{Spring 2016 Schedule}}\label{spring_2016_schedule}

\begin{tabular}{r|l|l}
Date&Speaker&Topic\\
\hline 
1/20&&Organizational Meeting\\
1/27&Jacques Distler&Trace Anomalies and 6D SCFT\\
2/3&David Kosower&The Unitarity Method (\textbf{RLM 9.222})\\
2/10&Lorenzo Sadun&Integer Quantum Hall Effect\\
2/17&Pavel Putrov&Fivebranes and manifold invariants\\
2/24&Valentin Zakharevich&Fractional Quantum Hall\\
3/2&Bei Jia&Nonabelions in the Fractional Quantum Hall Effect\\
3/9&Dan Freed&Fermions and Invertible Field Theories\\
3/23&Chris Beem&Deformation quantization from superconformal symmetry in three dimensions\\
3/30&David Morrison&The gauge group (scheme) of an elliptic curve\\
4/6&Andy Neitzke&Topological quantum field theory and Poisson brackets\\
4/13&David Ben-Zvi&\\
4/20&&\\
4/27&&\\
5/4&&\\
\end{tabular}

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

\hypertarget{conformal_field_theory_generalities}{}\paragraph*{{Conformal Field Theory Generalities}}\label{conformal_field_theory_generalities}

\begin{itemize}%
\item Chapters 1-4 of di Francesco, Mathieu and Senechal, ``\href{
http://www.amazon.com/Conformal-Theory-Graduate-Contemporary-Physics/dp/038794785X/}{Conformal Field Theory}''
\item Rychkov, ``\href{https://sites.google.com/site/slavarychkov/home}{EPFL Lectures on Conformal Field Theory in $D\geq3$ Dimensions}''

\end{itemize}
\hypertarget{unitary_representations_of_the_superconformal_algebra}{}\paragraph*{{Unitary Representations of the (super)Conformal Algebra}}\label{unitary_representations_of_the_superconformal_algebra}

\begin{itemize}%
\item Mack, ``All Unitary Ray Representations of the Conformal Group SU(2,2) with Positive Energy,'' Com. Math. Phys. 55, 1 (1977).
\item Minwalla, ``\href{http://arxiv.org/abs/hep-th/9712074}{Restrictions imposed by superconformal invariance on quantum field theories}''
\item Dolan and Osborn, ``\href{http://arxiv.org/abs/hep-th/0209056}{On short and semi-short representations for four-dimensional superconformal symmetry}''

\end{itemize}
\hypertarget{crossing_symmetry_and_conformal_blocks}{}\paragraph*{{Crossing Symmetry and Conformal Blocks}}\label{crossing_symmetry_and_conformal_blocks}

\begin{itemize}%
\item Osborn and Petkou, ``\href{http://arxiv.org/abs/hep-th/9307010}{Implications of conformal invariance in field theories for general dimensions}''
\item Dolan and Osborn, ``\href{http://arxiv.org/abs/hep-th/0011040}{Conformal four point functions and the operator product expansion}''
\item Dolan and Osborn, ``\href{http://arxiv.org/abs/hep-th/0309180}{Conformal partial waves and the operator product expansion}''
\item Dolan and Osborn, ``\href{http://arxiv.org/abs/1108.6194}{Conformal Partial Waves: Further Mathematical Results}''

\end{itemize}
\hypertarget{the_superconformal_bootstrap}{}\paragraph*{{The (super)Conformal Bootstrap}}\label{the_superconformal_bootstrap}

\begin{itemize}%
\item Rattazzi, Rychkov, Tonni and Vichi, ``\href{http://arxiv.org/abs/0807.0004}{Bounding scalar operator dimensions in 4D CFT}''
\item Beem, Lemos, Rastelli, van Rees, ``\href{http://arxiv.org/abs/arXiv:1507.05637}{The (2,0) superconformal bootstrap}''

\end{itemize}
\hypertarget{the_superconformal_index}{}\paragraph*{{The Superconformal Index}}\label{the_superconformal_index}

\begin{itemize}%
\item Kinney, Maldacena, Minwalla and Raju, ``\href{http://arxiv.org/abs/hep-th/0510251}{An Index for 4 dimensional super conformal theories}''
\item Rastelli and Razamat,``\href{http://arxiv.org/abs/1412.7131}{The superconformal index of theories of class $\mathcal{S}$}''

\end{itemize}
\hypertarget{uniqueness_of_the_6d_20_theories_the_atheorem_and_anomalies}{}\paragraph*{{Uniqueness of the 6D (2,0) Theories, the a-Theorem and Anomalies}}\label{uniqueness_of_the_6d_20_theories_the_atheorem_and_anomalies}

\begin{itemize}%
\item Cordova, Dumitrescu and Intriligator, ``\href{http://arxiv.org/abs/1506.03807}{Anomalies, Renormalization Group Flows, and the a-Theorem in Six-Dimensional (1,0) Theories}''


\item Cordova, Dumitrescu and Intriligator, ``\href{http://arxiv.org/abs/1602.01217}{Deformations of Superconformal Theories}''



\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}

\vspace{.5em} \hrule \vspace{.5em}
\hypertarget{books_and_survey_papers_topological_insulators_and_superconductors}{}\paragraph*{{Books and Survey Papers: Topological Insulators and Superconductors}}\label{books_and_survey_papers_topological_insulators_and_superconductors}

\begin{itemize}%
\item Wen, Quantum Field Theory of Many-Body Systems


\item Bernevig, Hughes, Topological Insulators and Topological Superconductors


\item Hassan, Kane, \href{https://www.dropbox.com/s/nwnf11qa5o6a0u7/Hassan-Kane.pdf?dl=0}{Topological insulators}


\item Qi, Zhang, \href{https://www.dropbox.com/s/t7lftr1tqawlsew/Qi-Zhang%20survey%20on%20topological%20insulators%20and%20superconductors.pdf?dl=0}{Topological insulators and superconductors}



\end{itemize}
\hypertarget{kitaevs_toric_code}{}\paragraph*{{Kitaev's Toric Code}}\label{kitaevs_toric_code}

\begin{itemize}%
\item Kitaev, \href{http://arxiv.org/abs/quant-ph/9707021}{Fault-tolerant quantum computation by anyons}


\item Freedman, Hastings \href{http://arxiv.org/pdf/1507.05676}{Double semions in arbitrary dimensions}



\end{itemize}
\hypertarget{classification_of_invertible_topological_phases}{}\paragraph*{{Classification of Invertible Topological Phases}}\label{classification_of_invertible_topological_phases}

\begin{itemize}%
\item Freed, \href{http://arxiv.org/pdf/1406.7278.pdf}{Short-range entanglement and invertible field theories}


\item Chen, Gu, Liu, Wen, \href{http://arxiv.org/pdf/1106.4772v6.pdf}{Symmetry protected topological orders and the group cohomology of their symmetry group}


\item Kapustin, Turzillo, \href{http://arxiv.org/pdf/1504.01830v1.pdf}{Equivariant Topological Quantum Field Theory and Symmetry Protected Topological Phases}


\item Witten, \href{http://arxiv.org/pdf/1508.04715.pdf}{Fermion path integrals and topological phases}


\item Witten, Lecture at PiTP: \href{https://pitp2015.ias.edu/sites/pitp2015.ias.edu/files/PiTP%20IV_0.pdf}{slides} \href{https://www.youtube.com/watch?v=za0495zVWWo}{video}



\end{itemize}
\hypertarget{generalized_global_symmetries}{}\paragraph*{{Generalized Global Symmetries}}\label{generalized_global_symmetries}

\begin{itemize}%
\item Gaiotto, Kapustin, Seiberg, Willett, \href{http://arxiv.org/pdf/1412.5148.pdf}{Generalized global symmetries} and references therein


\item Sharpe, \href{http://arxiv.org/pdf/1508.04770.pdf}{Notes on generalized global symmetries in QFT}



\end{itemize}
\hypertarget{topological_band_theory}{}\paragraph*{{Topological Band Theory}}\label{topological_band_theory}

\begin{itemize}%
\item Kane, \href{http://www.physics.upenn.edu/%7Ekane/pubs/chap1.pdf}{Topological band theory and the Z/2 invariant}


\item Kane, \href{https://pitp2015.ias.edu/schedule}{Lectures at PiTP}


\item Freed, Moore, \href{http://arxiv.org/pdf/1208.5055.pdf}{Equivariant topological matter}



\end{itemize}
\hypertarget{integer_quantum_hall_effect}{}\paragraph*{{Integer Quantum Hall Effect}}\label{integer_quantum_hall_effect}

\begin{itemize}%
\item Witten, \href{https://pitp2015.ias.edu/schedule}{Lectures at PiTP}, particularly Lecture 2


\item Witten, Lecture: \href{http://videostreaming.gc.cuny.edu/videos/video/792/in/channel/55/}{The Chern-Simons functional in condensed matter physics}


\item Wen, Quantum Field Theory of Many-body Systems, Section 4.4



\end{itemize}
\hypertarget{fractional_quantum_hall_effect}{}\paragraph*{{Fractional Quantum Hall Effect}}\label{fractional_quantum_hall_effect}

\begin{itemize}%
\item Read, Moore, \href{http://www.physics.rutgers.edu/%7Egmoore/MooreReadNonabelions.pdf}{Nonabelians in the fractional quantum Hall effect}


\item Read, \href{https://pitp2015.ias.edu/schedule}{Lectures at PiTP}, particularly Lecture 2


\item Wen, Quantum Field Theory of Many-body Systems, Chapter 7



\end{itemize}
\hypertarget{superconductivity}{}\paragraph*{{Superconductivity}}\label{superconductivity}

\begin{itemize}%
\item Weinberg, \href{https://www.dropbox.com/s/0t77oz5kp05fl7w/Weinberg2.pdf?dl=0}{Superconductivity for particular theorists}


\item Witten, \href{https://www.dropbox.com/s/k60aexzyikjbpee/From%20superconductors%20and%204-manifolds%20to%20weak%20interactions.pdf?dl=0}{From superconductors and four-manifolds to weak interactions}



\end{itemize}


\end{document}