4d N=2 SCFTs and lisse W-algebras

被引：0

作者：

Xie, Dan ^{[1
,2
]}

Yan, Wenbin ^{[1
]}

机构：

[1] Tsinghua Univ, Yau Math Sci Ctr, Beijing 10084, Peoples R China

[2] Tsinghua Univ, Dept Math, Beijing 10084, Peoples R China

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2021年 / 04期

关键词：

Supersymmetric Gauge Theory; Supersymmetry and Duality; DUALITY; SINGULARITY;

D O I：

10.1007/JHEP04(2021)271

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We continue our studies of the correspondence between 4d N = 2 SCFTs and 2d W-algebras. The purpose of this paper is to study the relationship between 2d lisse W-algebras and their 4d SCFT partners. The lisse W-algebra is the W-algebra whose associated Zhu's C-2 algebra is finite dimensional. As the associated variety of Zhu's C-2 algebra is identified with the Higgs branch in the 4d/2d correspondence, the lisse condition is equivalent to the absence of the Higgs branch on the 4d side. We classify 4d N = 2 SCFTs which do not admit Higgs branch, then these theories would give lisse W-algebras through the 4d/2d correspondence. In particular, we predict the existence of a large class of new non-admissible lisse W-algebras, which have not been studied before. The 4d theories corresponding to lisse W-algebra can appear in the Higgs branches of generic 4d N = 2 SCFTs, therefore they are crucial to understand the Higgs branches of N = 2 SCFTs.

引用

页数：57