Some exceptional extensions of Virasoro vertex operator algebras

Ai, Chunrui; Dong, Chongying; Lin, Xingjun

doi:10.1016/j.jalgebra.2019.10.053

Journal of Algebra

2020

DOI: 10.1016/j.jalgebra.2019.10.053

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Some exceptional extensions of Virasoro vertex operator algebras

Chunrui Ai

Chongying Dong

Xingjun Lin

Abstract: In this paper, extensions of nonunitary rational Virasoro vertex operator algebras corresponding to some exceptional modular invariants are constructed. The uniqueness of these extensions is also established.

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2024

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Canonical Construction of Invariant Differential Operators: A Review

Dobrev

2024

Symmetry

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In the present paper, we review the progress of the project of the classification and construction of invariant differential operators for non-compact, semisimple Lie groups. Our starting point is the class of algebras which we called earlier ‘conformal Lie algebras’ (CLA), which have very similar properties to the conformal algebras of Minkowski space-time, though our aim is to go beyond this class in a natural way. For this purpose, we introduced recently the new notion of a parabolic relation between two non-compact, semi-simple Lie algebras G and G′ that have the same complexification and possess maximal parabolic subalgebras with the same complexification.

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Canonical Construction of Invariant Differential Operators: A Review

Dobrev

2024

Symmetry

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Some exceptional extensions of Virasoro vertex operator algebras

Abstract: In this paper, extensions of nonunitary rational Virasoro vertex operator algebras corresponding to some exceptional modular invariants are constructed. The uniqueness of these extensions is also established.

Cited by 1 publication

References 33 publications

Canonical Construction of Invariant Differential Operators: A Review

Canonical Construction of Invariant Differential Operators: A Review

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