|Speaker:||Richard Eager (Kavli IPMU)|
|Title:||Elliptic genera and two dimensional gauge theories|
|Date (JST):||Mon, Jul 08, 2013, 17:00 - 18:30|
|Place:||Komaba Room 122|
The elliptic genus is an important invariant of two dimensional conformal field theories that generalizes the Witten index. In this talk, I will first review the geometric meaning of the elliptic genus and Witten's GLSM construction. Then I will explain how the elliptic genus can be computed directly from a two dimensional gauge theory using localization. The central example of this talk will be the quintic threefold. The GLSM description of the quintic threefold has both a large-volume sigma model description and a Landau-Ginzburg description.
I will explain how the GLSM calculation of the index reproduces the old results in these two phases. Time permitting, further applications and generalizations will be discussed.