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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.
Ron Donagi, University of Pennsylvania, Philadelphia, PA, USA.Michael R. Douglas, Ljudmila Kamenova, and Martin Rocek, Stony Brook University, NY, USA.
Plenary talks: Integrable lattice models from four-dimensional field theories by K. CostelloAnomalies and invertible field theories by D. S. FreedCategorical base loci and spectral gaps, via Okounkov bodies and Nevanlinna theory by L. Katzarkov and Y. LiuRankin-Selberg methods for closed string amplitudes by B. PiolineSingular fibers and Coulomb phases by S. Schafer-NamekiThe physics and the mixed Hodge structure of Feynman integrals by P. VanhoveContributed talks: Polynomial rings and topological strings by M. AlimExploring novel geometry in heterotic/F-theory dual pairs by L. B. AndersonMassless spectrum for hybrid CFTs by M. Bertolini, I. V. Melnikov, and M. R. PlesserA quick guide to defect orbifolds by I. Brunner, N. Carqueville, and D. PlencnerGeometric t-dualization by C. DaenzerMirror symmetry in flavored affine D-type quivers by A. DeyDuality domain walls in class [SA1] by T. DimofteCalabi-Yau fourfolds in products of projective space by J. Gray, A. Haupt, and A. LukasPoisson AKSZ theories and their quantizations by T. Johnson-FreydModularity, Calabi-Yau geometry and 2d CFTs by C. A. KellerThree dimensional mirror symmetry and integrability by P. KoroteevStrict deformation quantisation of the G-connections via Lie groupoid by A. LaiSupersymmetric boundary conditions in 3d N=2 theories by T. Okazaki and S. YamaguchiInstanton-soliton loops in 5D super-Yang-Mills by C. Papageorgakis and A. B. Royston2d SCFT from M-branes and its spectral network by C. Y. Park
Laurent Baulieu, Karim Benakli, Michael R. Douglas, Bruno Mansoulie, Eliezer Rabinovici, Leticia F. Cugliandolo, France) Baulieu, Laurent (Laboratoire de Physique Theorique et Hautes Energies, Sorbonnes Universites - Universite Pierre et Marie Curie, Paris, France) Benakli, Karim (Laboratoire de Physique Theorique et Hautes Energies, Sorbonnes Universites - Universite Pierre et Marie Curie, Paris, USA) Douglas, Michael R. (Simons Center for Geometry and Physics, Stony Brook University, France) Mansoulie, Bruno (Institut de recherches sur les lois fondamentales de l'Univers, CEA/Saclay, Gif-sur-Yvette Cedex, Israel) Rabinovici, Eliezer (Racah Institute of Physics, The Hebrew University, Jerusalem, France) Cugliandolo, Leticia F. (Laboratoire de Physique Theorique et Hautes Energies, Sorbonnes Universites - Universite Pierre et Marie Curie, Paris
Paul S. Aspinwall, Tom Bridgeland, Alastair Craw, Michael R. Douglas, Mark Gross, Anton Kapustin, Gregory W. Moore, Graeme Segal, Balazs Szendro, P.M.H. Wilson