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. ##Fall 2019 Schedule## {:r: scope="row"} Date|Speaker|Topic| ---:|:------|:----| {:r}8/28 | |Organizational Meeting| {:r}9/4 |Dan Freed |FMS | {:r}9/11 |Sutapa Samanta | Two new moonshines and two new Lie algebras | {:r}9/18 |Jacques Distler |IIB and 6D CFTs (I) | {:r}9/25 | Shehper|IIB and 6D CFTs (II) | {:r}10/2 |Arun Debray | [GSO projections via SPT phases](https://arxiv.org/abs/1908.04805)| {:r}10/16|Ivan Tulli | Notes on entanglement properties of Field Theories - Witten| {:r}10/23|Sebastian Schulz | Notes on entanglement properties of Field Theories - Witten| {:r}10/30| Andrew Potter| Fractons (I)| {:r}11/6 | Andrew Potter| Fractons (II)| {:r}11/13| Madalena Lemos| | {:r}11/20|Ricky Wedeen |Yang-Mills for Probabilists | {:r}12/4 |Charlie Reid |Yang-Mills for Probabilists | {: class="plaintable" style="text-align:center;" summary="Fall Schedule"} ##Spring 2020 Schedule## {:r: scope="row"} Date|Speaker|Topic| ---:|:------|:----| {:r}1/22 |Organizational Meeting | | {:r}1/29 |Jacques Distler| What is a scattering amplitude?| {:r} 2/5 |Jacques Distler| Analyticity properties of scattering amplitudes | {:r}2/12 |Ali Shehper| Multi-cut methods in scattering amplitudes | {:r}2/19 |Ivan Tulli | Twistors, momentum twistors and Yangian Symmetry| {:r}2/26 |Grant Elliot| Twistors, momentum twistors and Yangian Symmetry Part 2| {:r} 3/4 |Charlie Reid |Positroid Stratification of the Positive Grassmannian | {:r}3/11 | | | {:r}3/25 |Grant Elliot| The Yangian | {:r} 4/1 | | | {:r}4/8 | Mario Martone | Higher-loops | {:r}4/15 | | | {:r}4/22 | Behzat Ergun | The amplituhedron | {:r} 4/29 | | | {:r} 5/6 | | | {: class="plaintable" style="text-align:center;" summary="Spring Schedule"} ##References## * Nima Arkani-Hamed's [course at Harvard](https://www.youtube.com/user/harvardphysics/videos) (24 lectures) * Nima Arkani-Hamed, Jacob Bourjaily, Freddy Cachazo, Alexander Goncharov, Alexander Postnikov and Jaroslav Trnka, ["*Grassmannian Geometry of Scattering Amplitudes*"](https://www.amazon.com/Grassmannian-Geometry-Scattering-Amplitudes-Arkani-Hamed/dp/1107086582/); [arXiv version](http://arxiv.org/abs/1212.5605). * Henriette Elvang and Yu-tin Huang, ["*Scattering Amplitudes in Gauge Theory and Gravity*"](https://www.amazon.com/Scattering-Amplitudes-Gauge-Theory-Gravity/dp/1107069254/) * Nima Arkani-Hamed and Jaroslav Trnka, ["*Into the Amplituhedron*"](https://arxiv.org/abs/1312.7878) * Nima Arkani-Hamed, Hugh Thomas and Jaroslav Trnka, ["*Unwinding the Amplituhedron in Binary*"](https://arxiv.org/abs/1704.05069) *** ##Old References## * I. Garcia-Etxebarria, B. Heidenreich, D. Regalado, "[IIB flux non-commutativity and the global structure of field theories](https://arxiv.org/abs/1908.08027) * Justin Kaidi, Julio Parra-Martinez, Yuji Tachikawa, "[GSO projections via SPT phases](https://arxiv.org/abs/1908.04805)" * Edward Witten, "[Notes on Some Entanglement Properties of Quantum Field Theory](https://arxiv.org/abs/1803.04993)" * Sourav Chatterjee, "[Yang-Mills for probabilists](https://arxiv.org/abs/1803.01950)" ####Brave New Vertex Algebras * C. Beem, M. Lemos, P. Liendo, W. Peelaers, L. Rastelli, B. C. van Rees, "[Infinite chiral symmetry in four dimensions](https://arxiv.org/abs/1312.5344)" * C. Beem, W. Peelaers, L. Rastelli, B. C. van Rees, "[Chiral algebras of class S](https://arxiv.org/abs/1408.6522)" * C. Beem, L. Rastelli, "[Vertex operator algebras, Higgs branches, and modular differential equations](https://arxiv.org/abs/1707.07679)" * C. Beem, StringMath Slides, "[Comments on Vertex Algebras for N=2 SCFTS] (https://stringmath2017.desy.de/sites/sites_conferences/site_stringmath2017/content/e45470/e56510/e56557/SM-Beem.pdf)" * T. Arakawa, 2018 ICM Address, "[Representation Theory of W-algebras and Higgs Branch Conjecture](https://arxiv.org/abs/1712.07331)" * T. Arakawa, "[Associated Varieties and Higgs Branches, a Survey](https://arxiv.org/abs/1712.01945)" * A. Gadde, S. Gukov, P. Putrov, "[Fivebranes and 4-manifolds](https://arxiv.org/abs/1306.4320)" * M. Dedushenko, S. Gukov, P. Putrov, "[Vertex algebra and 4-manifold invariants](https://arxiv.org/abs/1705.01645)" * B. Feigin, S. Gukov, "[VOA[M4]](https://arxiv.org/abs/1806.02470)" * K. Costello, D. Gaiotto, "[Vertex operator algebras and 3d N=4 gauge theories](https://arxiv.org/abs/1804.06460)" * E. Frenkel, D. Gaiotto, "[Quantum Langlands dualities of boundary conditions, D-modules, and conformal blocks](https://arxiv.org/abs/1805.00203)" ####Gauge Theory and Integrable Systems#### * E. Witten, "[Integrable lattice models from gauge theory](https://arxiv.org/abs/1611.00592)" * K. Costello, E. Witten, M. Yamazaki, "[Gauge theory and integrability, I](https://arxiv.org/abs/1709.09993)" * K. Costello, E. Witten, M. Yamazaki, "[Gauge theory and integrability, II](https://arxiv.org/abs/1802.01579)" * K. Costello, "[Lecture at Strings 2016](https://member.ipmu.jp/yuji.tachikawa/stringsmirrors/2016/main/Costello.pdf)" * E. Witten, "[Lecture at Strings 2016](https://member.ipmu.jp/yuji.tachikawa/stringsmirrors/2016/main/Edward%20Witten.pdf)" * M. Yamazaki, "[Lecture at Strings 2018](https://indico.oist.jp/indico/event/5/page/14)" ####Miscellaneous Papers#### * V. F. R. Jones, "[Scale invariant transfer matrices and Hamiltonians](https://arxiv.org/abs/1706.00515)" * R. Mazzeo, E. Witten, "[The KW equations and the Nahm pole boundary condition with knots](https://arxiv.org/abs/1712.00835)" * S. Chatterjee, "[Yang-Mills for probabilists](https://arxiv.org/abs/1803.01950)" * N. Seiberg, Y. Tachikawa, K. Yonekura, "[Anomalies of duality groups and extended conformal manifolds](https://arxiv.org/abs/1803.07366)" * A. S. Cattaneo, P. Mnev, N. Reshetikhin, "[Poisson sigma model and semiclassical quantization of integrable systems](https://arxiv.org/abs/1803.07723)" * R. Dijkgraaf, E. Witten, "[Developments in topological gravity](https://arxiv.org/abs/1804.03275)" * C. Elliott, P. Safronov, "[Topological twists of supersymmetric algebras of observables](https://arxiv.org/abs/1805.10806)" * E. Witten, "[Notes on some entanglement properties of quantum field theory](https://arxiv.org/abs/1803.04993)" #### (Higher) Symmetries, Anomaly-Matching and Phases of QCD * A. Kapustin, R. Thorngren, "[Anomalies of discrete symmetries in various dimensions and group cohomology](https://arxiv.org/abs/1404.3230)" * D. Gaiotto, A. Kapustin, N. Seiberg and B. Willett, "[Generalized Global Symmetries](https://arxiv.org/abs/1412.5148)" * F. Benini, P. Hsin and N. Seiberg, "[Comments on global symmetries, anomalies, and duality in (2+1)d](https://arxiv.org/abs/1702.07035)" * D. Gaiotto, A. Kapustin, Z. Komargodski and N. Seiberg, "[Theta, Time Reversal, and Temperature](https://arxiv.org/abs/1703.00501)" * Z. Komargodski and N. Seiberg, "[A Symmetry Breaking Scenario for $\text{QCD}_3$](https://arxiv.org/abs/1706.08755)" * D. S. Freed, Z. Komargodski, N. Seiberg, "[The Sum Over Topological Sectors and θ in the 2+1-Dimensional CP¹ σ-Model](https://arxiv.org/abs/1707.05448)" * D. Gaiotto, Z. Komargodski and N. Seiberg, "[Time-Reversal Breaking in $\text{QCD}_4$, Walls, and Dualities in 2+1 Dimensions](https://arxiv.org/abs/1708.06806)" * J. Gomis, Z. Komargodski, N. Seiberg, "[Phases of adjoint $\text{QCD}_3$ and dualities](https://arxiv.org/abs/1710.03258)" * C. Cordova, P.-S. Hsin, N. Seiberg, "[Time-reversal symmetry, anomalies, and dualities in (2+1)d](https://arxiv.org/abs/1712.08639)" * Y. Tachikawa, "[On gauging finite subgroups](https://arxiv.org/abs/1712.09542)" * D. M. Hofman, N. Iqbal, "[Generalized global symmetries and holography](https://arxiv.org/abs/1707.08577)" ####Mathematics Papers on 2-Groups * G. C. Baez, A. D. Lauda, "[Higher-dimensional algebra V: 2-groups](https://arxiv.org/abs/math/0307200)" * C. J. Schommer-Pries, "[Central extension of smooth 2-groups and a finite-dimensional string 2-group](https://arxiv.org/abs/0911.2483)"