Kavli IPMU Komaba Seminar

過去の記録 ~03/28次回の予定今後の予定 03/29~

開催情報 月曜日 16:30~18:00 数理科学研究科棟(駒場) 002号室
担当者 河野 俊丈

2009年11月30日(月)

16:30-18:00   数理科学研究科棟(駒場) 002号室
Junya Yagi 氏 (Rutgers University)
Chiral Algebras of (0,2) Models: Beyond Perturbation Theory
[ 講演概要 ]
The chiral algebras of two-dimensional sigma models with (0,2)
supersymmetry are infinite-dimensional generalizations 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 in the model, which in turn suggests that no harmonic spinors
exist on the loop space of the target space. In particular, the
elliptic genus of the model vanishes, thereby providing a physics
proof of a special case of the Hoelhn-Stolz conjecture.