| DATE: |
2010-03-02 11:00 - 12:00 |
| PLACE: |
4 Go-Kan Rm. 345 |
| TITLE: |
Chiral Algebras of (0,2) Models: Beyond Perturbation Theory |
| CONTACT: |
HYAKUTAKE Yoshifumi, hyaku AT post.kek.jp |
| SPEAKER: |
Dr. Junya Yagi (Rutgers University) |
| LANGUAGE: |
English |
| ABSTRACT: |
The chiral algebras of two-dimensional sigma models with (0,2) supersymmetry are infinite-dimensional analogs of the chiral rings of (2,2) models. Perturbatively, they enjoy rich mathematical structures described by sheaves of chiral differential operators. Nonperturbatively, however, they vanish completely for certain (0,2) models with no left-moving fermions. In this talk, I will explain how this vanishing phenomenon takes places. The vanishing of the chiral algebra of a (0, 2) model implies that supersymmetry is spontaneously broken, which in turn suggests that no harmonic spinors exist on the loop space of the target space. This provides a physics proof of a special case of the H½ærhn-Stolz conjecture. |
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