scholarly journals Classification of extremal vertex operator algebras with two simple modules

2020 ◽  
Vol 61 (5) ◽  
pp. 052302
Author(s):  
J. Connor Grady ◽  
Ching Hung Lam ◽  
James E. Tener ◽  
Hiroshi Yamauchi
Keyword(s):  
Vertex Operator ◽  
Operator Algebras ◽  
Vertex Operator Algebras ◽  
Simple Modules

scholarly journals Construction and classification of holomorphic vertex operator algebras

2020 ◽  
Vol 2020 (759) ◽  
pp. 61-99 ◽  
Author(s):  
Jethro van Ekeren ◽  
Sven Möller ◽  
Nils R. Scheithauer
Keyword(s):  
Vertex Operator ◽  
Operator Algebras ◽  
Central Charge ◽  
Field Theories ◽  
Vertex Operator Algebras ◽  
Conformal Field Theories ◽  
Cyclic Groups ◽  
Conformal Field

AbstractWe develop an orbifold theory for finite, cyclic groups acting on holomorphic vertex operator algebras. Then we show that Schellekens’ classification of {V_{1}}-structures of meromorphic conformal field theories of central charge 24 is a theorem on vertex operator algebras. Finally, we use these results to construct some new holomorphic vertex operator algebras of central charge 24 as lattice orbifolds.

Classification of irreducible weak modules over Virasoro vertex operator algebras

2019 ◽  
Vol 30 (11) ◽  
pp. 1950054
Author(s):  
Guobo Chen ◽  
Dejia Cheng ◽  
Jianzhi Han ◽  
Yucai Su
Keyword(s):  
Vertex Operator ◽  
Operator Algebra ◽  
Vertex Operator Algebra ◽  
Operator Algebras ◽  
Vertex Operator Algebras ◽  
Positive Integers ◽  
Coprime Positive Integers

The classification of irreducible weak modules over the Virasoro vertex operator algebra [Formula: see text] is obtained in this paper. As one of the main results, we also classify all irreducible weak modules over the simple Virasoro vertex operator algebras [Formula: see text] for [Formula: see text] [Formula: see text], where [Formula: see text] are coprime positive integers.

scholarly journals Classification of the vertex operator algebras VL+ of class S4

2016 ◽  
Vol 456 ◽  
pp. 151-181 ◽  
Author(s):  
Tomonori Hashikawa ◽  
Hiroki Shimakura
Keyword(s):  
Vertex Operator ◽  
Operator Algebras ◽  
Vertex Operator Algebras

scholarly journals The Classification of Extensions of Lsl3(k, 0)

2017 ◽  
Vol 24 (03) ◽  
pp. 407-418 ◽  
Author(s):  
Chunrui Ai ◽  
Xingjun Lin
Keyword(s):  
Vertex Operator ◽  
Operator Algebras ◽  
Vertex Operator Algebras ◽  
Modular Invariants

In this paper, rational extensions of affine vertex operator algebras Lsl3 (k, 0) with [Formula: see text] are classified by modular invariants.

scholarly journals Classification of some vertex operator algebras of rank 3

2020 ◽  
Vol 14 (6) ◽  
pp. 1613-1667
Author(s):  
Cameron Franc ◽  
Geoffrey Mason
Keyword(s):  
Vertex Operator ◽  
Operator Algebras ◽  
Vertex Operator Algebras
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