scholarly journals Determinants for integral forms in lattice type vertex operator algebras

2020 ◽  
Vol 558 ◽  
pp. 327-335
Author(s):  
Chongying Dong ◽  
Robert L. Griess
Keyword(s):  
Vertex Operator ◽  
Operator Algebras ◽  
Vertex Operator Algebras ◽  
Lattice Type ◽  
Integral Forms

scholarly journals Smash product construction of modular lattice vertex algebras

2021 ◽  
Vol 30 (1) ◽  
pp. 204-220
Author(s):  
Qiang Mu ◽  
Keyword(s):  
Vertex Operator ◽  
Modular Lattice ◽  
Characteristic Zero ◽  
Positive Characteristic ◽  
Operator Algebras ◽  
Positive Definite ◽  
Vertex Operator Algebras ◽  
Vertex Algebras ◽  
Smash Product ◽  
Integral Forms

<abstract><p>Motivated by a work of Li, we study nonlocal vertex algebras and their smash products over fields of positive characteristic. Through smash products, modular vertex algebras associated with positive definite even lattices are reconstructed. This gives a different construction of the modular vertex algebras obtained from integral forms introduced by Dong and Griess in lattice vertex operator algebras over a field of characteristic zero.</p></abstract>

scholarly journals W algebras, cosets and VOAs for 4d $$ \mathcal{N} $$ = 2 SCFTs from M5 branes

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Dan Xie ◽  
Wenbin Yan
Keyword(s):  
Vertex Operator ◽  
Operator Algebras ◽  
Nilpotent Orbit ◽  
Vertex Operator Algebras ◽  
Flavor Symmetries ◽  
Conformal Embedding

Abstract We identify vertex operator algebras (VOAs) of a class of Argyres-Douglas (AD) matters with two types of non-abelian flavor symmetries. They are the W algebras defined using nilpotent orbit with partition [qm, 1s]. Gauging above AD matters, we can find VOAs for more general $$ \mathcal{N} $$ N = 2 SCFTs engineered from 6d (2, 0) theories. For example, the VOA for general (AN − 1, Ak − 1) theory is found as the coset of a collection of above W algebras. Various new interesting properties of 2d VOAs such as level-rank duality, conformal embedding, collapsing levels, coset constructions for known VOAs can be derived from 4d theory.

Sign in / Sign up

Export Citation Format

Share Document