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Direct Computation of the Witten Index of a GLSM at large $n$

组织者

白岸斯 , 陈群皓 , 孔良 , 王亦龙 , 张智浩 , 郑浩

演讲者

Yanming Su

时间

2026年04月07日 13:00 至 14:30

地点

A3-3-301

线上

Zoom 559 700 6085 (BIMSA)

摘要

Large-$n$ expansion can be used to describe a large amount of non-perturbative phenomena. In this study, we focus on an $N=2$ supersymmetric quantum mechanics which is a sigma model, whose target space is a smooth $n-1$-dimensional complex projective variety of degree $d$. At the limit of a large $n$, we lift the NLSM into a GLSM and take a permutation-symmetry-protecting approach to deal with the path integral. In the result, we arrive at the Witten Index at the leading order. We hope that through this simple case study, whose answer is already known, we can form a more general algorithm to study sigma models with permutation symmetries. This talk is based on the adjoint work with Simeon Hellerman and Yew Xin Tan.