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Heterotic generalizations of 2d topological field theories
Mathematical Physics| Speaker: | Eric Sharpe, Utah |
| Location: | 693 Kerr |
| Start time: | Wed, Oct 12 2005, 1:10AM |
Description
In this talk, I shall outline some work with Sheldon Katz on
generalizing the 2d topological field theories known as the
A and B models, as relevant to both spacetime superpotentials
as well as the conjectured (0,2) generalization of mirror symmetry.
In the case of the A model generalization, the heterotic theory
calculates curve-counting corrections to sheaf cohomology,
generalizing the ordinary notion of a quantum cohomology ring.
Understanding the B model generalization reveals that the
ordinary B model can be consistently defined on very slightly
more spaces than merely Calabi-Yau manifolds.