Defining Relations for Minimal Unitary Quantum Affine W-Algebras

被引：0

作者：

Adamovic, Drazen ^{[1
]}

Kac, Victor G. ^{[2
]}

Frajria, Pierluigi Moseneder ^{[3
]}

Papi, Paolo ^{[4
]}

机构：

[1] Univ Zagreb, Dept Math, Fac Sci, Bijenicka 30, Zagreb 10000, Croatia

[2] MIT, Dept Math, 77 Mass Ave, Cambridge, MA 02139 USA

[3] Politecn Milan, Polo Reg Como, Via Anzani 42, I-22100 Como, Italy

[4] Sapienza Univ Roma, Dipartimento Matemat, P Le A Moro 2, I-00185 Rome, Italy

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2024年 / 405卷 / 02期

关键词：

REPRESENTATION-THEORY; SUPERCONFORMAL ALGEBRAS; WEIGHT MODULES; VIRASORO; N=2; INVARIANCE; REDUCTION; FORMULAS;

D O I：

10.1007/s00220-023-04902-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove that any unitary highest weight module over a universal minimal quantum affine W-algebra at non-critical level descends to its simple quotient. We find the defining relations of the unitary simple minimal quantum affine W-algebras and the list of all their irreducible positive energy modules. We also classify all irreducible highest weight modules for the simple affine vertex algebras in the cases when the associated simple minimal W-algebra is unitary.

引用

页数：25

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