Theory Seminar
KEK 慺棻巕尨巕妀尋媶強丒棟榑僙儈僫乕
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TITLE丗 |
Chiral Algebras of (0,2) Models: Beyond
Perturbation Theory |
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乮in English) |
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SPEAKER丗 |
Dr. Junya Yagi (Rutgers University) |
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DATE丗 |
March 2 (Tue.) 11:00-12:00 |
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PLACE: |
Laboratory No.4, Room 345 |
丂丂丂 乮ABSTRACT乯
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 Höhn-Stolz conjecture.