String-Math 2013 : conference, June 17-21, 2013, Simons Center for Geometry and Physics, Stony Brook, NY

Description

This volume contains the proceedings of the conference `String-Math 2013' which was held June 17-21, 2013 at the Simons Center for Geometry and Physics at Stony Brook University. This was the third in a series of annual meetings devoted to the interface of mathematics and string theory. Topics include the latest developments in supersymmetric and topological field theory, localization techniques, the mathematics of quantum field theory, superstring compactification and duality, scattering amplitudes and their relation to Hodge theory, mirror symmetry and two-dimensional conformal field theory, and many more. This book will be important reading for researchers and students in the area, and for all mathematicians and string theorists who want to update themselves on developments in the math-string interface Content: Integrable lattice models from four-dimensional field theories / Kevin Costello -- Anomalies and invertible field theories / Daniel S. Freed -- Categorical base loci and spectral gaps, via Okounkov bodies and Nevanlinna theory / Ludmil Katzarkov and Yijia Liu -- Rankin-Selberg methods for closed string amplitudes / Boris Pioline -- Singular fibers and Coulomb phases / Sakura Schäfer-Nameki -- The physics and the mixed Hodge structure of Feynman integrals / Pierre Vanhove -- Polynomial rings and topological strings / Murad Alim -- Exploring novel geometry in heterotic / F-theory dual pairs / Lara B. Anderson -- Massless spectrum for hybrid CFTs / Marco Bertolini, Ilarion V. Melnikov, and M. Ronen Plesser -- A quick guide to defect orbifolds / Ilka Brunner, Nils Carqueville, and Daniel Plencner -- Geometric T-dualization / Calder Daenzer -- Mirror symmetry in flavored affine D-type quivers / Anindya Dey -- Duality domain walls in class S [A₁] / Tudor Dimofte -- Calabi-Yau fourfolds in products of projecture space / James Gray, Alexander Haupt, and Andre Lukas -- Poisson AKSZ theories and their quantizations / Theo Johnson-Freyd -- Modularity, Calabi-Yau geometry and 2d CFTs / Christoph A. Keller -- Three dimensional mirror symmetry and integrability / Peter Koroteev -- Strict deformation quantisaiton of the G-connections via Lie groupoid / Alan Lai -- Supersymmetric boundary conditions in 3D N = 2 theories / Tadashi Okazaki and Satoshi Yamaguchi -- Instanton-soliton loops in 5 D super-Yang-Mills / Constantinos Papageorgakis and Andrew B. Royston -- 2d SCFT from M-branes and tis spectral network / Chan Y. Park.