String-Math 2012 : July 16-21, 2012, Universität Bonn, Bonn, Germany

Description

This volume contains the proceedings of the conference String-Math 2012, which was held July 16-21, 2012, at the Hausdorff Center for Mathematics, Universitat Bonn. This was the second in a series of annual large meetings devoted to the interface of mathematics and string theory. These meetings have rapidly become the flagship conferences in the field. Topics include super Riemann surfaces and their super moduli, generalized moonshine and K3 surfaces, the latest developments in supersymmetric and topological field theory, localization techniques, applications to knot theory, and many more. The contributors include many leaders in the field, such as Sergio Cecotti, Matthias Gaberdiel, Rahul Pandharipande, Albert Schwarz, Anne Taormina, Johannes Walcher, Katrin Wendland, and Edward Witten. This book will be essential reading for researchers and students in this area and for all mathematicians and string theorists who want to update themselves on developments in the math-string interface Content: * Plenary talks: The quiver approach to the BPS spectrum of a $4d \mathcal{N}=2$ gauge theory by S. Cecotti* Supermoduli space is not projected by R. Donagi and E. Witten* Generalised moonshine and holomorphic orbifolds by M. R. Gaberdiel, D. Persson, and R. Volpato* The first Chern class of the Verlinde bundles by A. Marian, D. Oprea, and R. Pandharipande* Framing the di-logarithm (over $\mathbb{Z}$) by A. Schwarz, V. Vologodsky, and J. Walcher* Symmetry-surfing the moduli space of Kummer K3s by A. Taormina and K. Wendland* Secret symmetries of AdS/CFT by A. Torrielli* Contributed talks: On the marginal deformations of general $(0,2)$ non-linear sigma-models by I. Adam* Quantum hypermultiplet moduli spaces in $\mathcal{N}=2$ string vacua: A review by S. Alexandrov, J. Manschot, D. Persson, and B. Pioline* Non-geometric fluxes versus (non)-geometry by D. Andriot* The geometric algebra of supersymmetric backgrounds by C. I. Lazaroiu, E. M. Babalic, and I. A. Coman* A toolkit for defect computations in Landau-Ginzburg models by N. Carqueville and D. Murfet* Grassmannian twists, derived equivalences, and brane transport by W. Donovan* Perturbative terms of Kac-Moody-Eisenstein series by P. Fleig and A. Kleinschmidt* Super-$A$-polynomial by H. Fuji and P. Sulkowski* On gauge theory and topological string in Nekrasov-Shatashvili limit by M. Huang* AGT and the topological string by A.-K. Kashani-Poor* Generalized Chern-Simons action and maximally supersymmetric gauge theories by M. V. Movshev and A. Schwarz