Format results
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Some simple extensions of Mathieu Moonshine
Shamit Kachru - Stanford University
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Exact results for boundaries and domain walls in 2d supersymmetric theories
Takuya Okuda - University of Tokyo
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Algebraic structures in massive (2,2) theories
Davide Gaiotto - Perimeter Institute for Theoretical Physics
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On refined stable pair invariants for del Pezzo surfaces and the 1/2 K3
Albrecht Klemm - Rheinische Friedrich-Wilhelms-Universität Bonn
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A symplectic approach to generalized complex geometry
Marco Gualtieri - University of Toronto
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Some simple extensions of Mathieu Moonshine
Shamit Kachru - Stanford University
Mathieu Moonshine is a striking and unexpected relationship between the sporadic simple finite group M24 and a special Jacobi form, the elliptic genus, which arises naturally in studies of nonlinear sigma models with K3 target. In this talk, we first discuss its predecessor (Monstrous Moonshine)… -
Hybrid conformal field theories
I will discuss a class of limiting points in the moduli space of d=2 (2,2) superconformal field theories. These SCFTs arise as IR limits of "hybrid" UV theories constructed as a fibration of a Landau-Ginzburg theory over a base Kaehler geometry. A significant generalization of Landau-Ginzburg and… -
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Exact results for boundaries and domain walls in 2d supersymmetric theories
Takuya Okuda - University of Tokyo
We apply supersymmetric localization to N=(2,2) gauged linear sigma models on a hemisphere, with boundary conditions, i.e., D-branes, preserving B-type supersymmetries. We explain how to compute the hemisphere partition function for each object in the derived category of equivariant coherent sheaves… -
Exact Results In Two-Dimensional (2,2) Supersymmetric Gauge Theories With Boundary
Kentaro Hori - University of Tokyo
We compute the partition function on the hemisphere of a class of two-dimensional (2,2) supersymmetric field theories including gauged linear sigma models. The result provides a general exact formula for the central charge of the D-brane placed at the boundary. It takes the form of Mellin-Barnes… -
Algebraic structures in massive (2,2) theories
Davide Gaiotto - Perimeter Institute for Theoretical Physics
I will review some ongoing work on the low energy properties of D-branes/boundary conditions in massive two-dimensional field theories with (2,2) supersymmetry. -
Blobbed topological recursion
Hermitian matrix models have been used since the early days of 2d quantum gravity, as generating series of discrete surfaces, and sometimes toy models for string theory. The single trace matrix models (with measure dM exp( - N Tr V(M)) have been solved in a 1/N expansion in the 90s by the moment… -
Wall-crossing structures
Yan Soibelman - Kansas State University
The concept of wall-crossing structure (WCS for short) was introduced recently in my joint work with Maxim Kontsevich. WCS appear in different disguises in the theory of Donaldson-Thomas invariants of Calabi-Yau 3-folds, quiver representations,integrable systems of Hitchin type, cluster algebras… -
On refined stable pair invariants for del Pezzo surfaces and the 1/2 K3
Albrecht Klemm - Rheinische Friedrich-Wilhelms-Universität Bonn
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A symplectic approach to generalized complex geometry
Marco Gualtieri - University of Toronto
I will describe a new method for understanding a large class of generalized complex manifolds, in which we view them as usual symplectic structures on a manifold with a kind of log structure. I will explain this structure in detail and explain how it can be used to prove a Tian-Todorov… -
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Resurgent transseries and the holomorphic anomaly
Topological string theory is restricted enough to be solved completely in the perturbative sector, yet it is able to compute amplitudes in physical string theory and it also enjoys large N dualities. These gauge theory duals, sometimes in the form of matrix models, can be solved past perturbation…