INVARIANT SUBALGEBRAS OF THE SMALL MATHEMATICAL SCRIPT CAPITAL N=4 SUPERCONFORMAL ALGEBRA

被引：1

作者：

Creutzig, Thomas ^{[1
]}

Linshaw, Andrew R. ^{[2
]}

Riedler, Wolfgang ^{[1
]}

机构：

[1] Univ Alberta, Dept Math, Edmonton, AB, Canada

[2] Univ Denver, Dept Math, Denver, CO USA

来源：

TRANSFORMATION GROUPS | 2022年 / 27卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

VERTEX ALGEBRAS; RHAM COMPLEX; TORIC VARIETIES; W-ALGEBRAS; COSETS; REPRESENTATIONS; Z(2)-ORBIFOLD; DUALITY;

D O I：

10.1007/s00031-021-09652-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Various aspects of orbifolds and cosets of the small N = 4 superconformal algebra are studied. First, we determine minimal strong generators for generic and specific levels. As a corollary, we obtain the vertex algebra of global sections of the chiral de Rham complex on any complex Enriques surface. We also identify orbifolds of cosets of the small N = 4 superconformal algebra with Com(V ` (sl2); V `+1(sl2) - W (sl4; frect)) and in addition at special levels with Grassmanian cosets and principal W-algebras of type A at degenerate admissible levels. These coincidences lead us to a novel level-rank duality involving Grassmannian supercosets.

引用

页码：797 / 832

页数：36