|Speaker:||Eric Sharpe (Virginia Tech)|
|Title:||Recent developments in 2d (0,2) theories|
|Date:||Tue, May 10, 2016, 13:15 - 14:45|
|Place:||Seminar Room A|
In this talk I will outline recent developments in two-dimensional theories with (0,2) supersymmetry, as applicable to heterotic string compactifications. I will outline `quantum sheaf cohomology,' a heterotic generalization of quantum cohomology rings involving quantum-corrected product structures on certain sheaf cohomology rings, and also describe recent progress in using supersymmetric localization to compute quantum sheaf cohomology and correlation functions in the A/2 and B/2 theories.
These theories have the interesting property that although they are not standard topological field theories, at genus zero they behave like topological field theories, as I will discuss. I will also discuss work on quantum sheaf cohomology in nonabelian cases, and describe classical and quantum sheaf cohomology rings for deformations of tangent bundles of Grassmannians. As time permits, I will also discuss Toda-like
Landau-Ginzburg duals to these theories.