88 citations · 210 across the 6 of their papers we have counts for
6 papers
Chiral de Rham complex and the half-twisted sigma-model
Anton Kapustin
On any Calabi-Yau manifold X one can define a certain sheaf of chiral N=2 superconformal field theories, known as the chiral de Rham complex of X. It depends only on the complex st…
A-branes and Noncommutative Geometry
Anton Kapustin
We argue that for a certain class of symplectic manifolds the category of A-branes (which includes the Fukaya category as a full subcategory) is equivalent to a noncommutative defo…
Open String BRST Cohomology for Generalized Complex Branes
Anton Kapustin, Yi Li
It has been shown recently that the geometry of D-branes in general topologically twisted (2,2) sigma-models can be described in the language of generalized complex structures. On…
A remark on worldsheet fermions and double-scaled matrix models
Anton Kapustin
We provide a heuristic explanation for the emergence of worldsheet fermions in the continuum limit of some matrix models. We also argue that turning on Ramond-Ramond flux confines…
Topological sigma-models with H-flux and twisted generalized complex manifolds
Anton Kapustin, Yi Li
We study the topological sector of N=2 sigma-models with H-flux. It has been known for a long time that the target-space geometry of these theories is not Kahler and can be describ…
Fatgraph expansion for noncritical superstrings
Anton Kapustin, Arvind Murugan
We study the fatgraph expansion for the Complex Matrix Quantum Mechanics (CMQM) with a Chern-Simons coupling. In the double-scaling limit this model is believed to describe Type 0A…