String-math 2022

This is a proceedings volume from the String-Math conference which took place at the University of Warsaw in 2022. This 12th String-Math conference focused on several research areas actively developing these days. They included generalized (categorical) symmetries in quantum field theory and their relation to topological phases of matter; formal aspects of quantum field theory, in particular twisted holography; various developments in supersymmetric gauge theories, BPS counting and Donaldson-Thomas invariants. Other topics discussed at this conference included new advances in Gromov-Witten theory, curve counting, and Calabi-Yau manifolds. Another broad topic concerned algebraic aspects of conformal field theory, vertex operator algebras, and quantum groups. Furthermore, several other recent developments were presented during the conference, such as understanding the role of operator algebras in the presence of gravity, derivation of gauge-string duality, complexity of black holes, or mathematical aspects of the amplituhedron. This proceedings volume contains articles summarizing 14 conference lectures, devoted to the above topics.

Articles Hulya Arguz, Quiver DT invariants and log Gromov-Witten theory of toric varieties Martin Bies, Root bundles: Applications to F-theory Standard Models Pierrick Bousseau, Holomorphic Floer theory and Donaldson-Thomas invariants Kasia Budzik, Giant Gravitons and non-conformal vacua in twisted holography Daniel S. Freed, Introduction to topological symmetry in QFT Mateo Galdeano, Superconformal algebras for the Schoen Calabi-Yau manifold David Jordan, Langlands duality for skein modules of 3-manifolds Elise LePage, Link homology from homological mirror symmetry Nikita Nekrasov, Analytic continuation and supersymmetry Michele Del Zotto, Muyang Liu and Paul-Konstantin Oehlmann, 6D heterotic little string theories and F-theory geometry: An introduction Meng-Chwan Tan, Vafa-Witten theory: Invariants, Floer homologies, Higgs bundles, a geometric Langlands correspondence, and categorification Brian Williams, A holomorphic approach to fivebranes Edward Witten, Algebras, regions, and observers Mayuko Yamashita, Invertible QFTs and differential Anderson duals