Kavli IPMU Komaba Seminar

過去の記録 ~06/07次回の予定今後の予定 06/08~

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


17:00-18:30   数理科学研究科棟(駒場) 122号室
Richard Eager 氏 (Kavli IPMU)
Elliptic genera and two dimensional gauge theories (ENGLISH)
[ 講演概要 ]
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.