Nonselfadjoint operator algebras and the Feynman-Kac formula

1984 ◽  
pp. 29-40
Keyword(s):  
Operator Algebras ◽  
Nonselfadjoint Operator

scholarly journals On nonselfadjoint operator algebras

1990 ◽  
Vol 110 (4) ◽  
pp. 915-915
Author(s):  
Edward G. Effros ◽  
Zhong-Jin Ruan
Keyword(s):  
Operator Algebras ◽  
Nonselfadjoint Operator

scholarly journals The numerical index of nonselfadjoint operator algebras

1993 ◽  
Vol 117 (4) ◽  
pp. 1105-1105
Author(s):  
Yoshihiro Nakamura ◽  
Kichi-Suke Saito ◽  
Kazunari Sakaba
Keyword(s):  
Operator Algebras ◽  
Nonselfadjoint Operator ◽  
Numerical Index

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.

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