Extensions of the Virasoro algebra constructed from Kac-Moody algebras using higher order Casimir invariants

Bais, F. A.; Bouwknegt, P.; Surridge, M.; Schoutens, K.

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Extensions of the Virasoro algebra constructed from Kac-Moody algebras using higher order Casimir invariants

Date

1988

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Abstract

We consider bosonic extensions of the Virasoro algebra that can be obtained from Kac-Moody algebras g ̂ by generalizing the Sugawara construction to the higher order Casimirs of g. In this paper we explicitly construct the algebra of a primary field of dimension 3 constructed from the 3rd order Casimir of AN-1. For N = 3 we compare our results to the Z3-extended Virasoro algebra proposed by Fateev and Zamolodchikov.

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https://dspace-test.anu.edu.au/handle/1885/733745490

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DevOps Pure Testing

Source

Nuclear Physics B

Type

Article

DOI

10.1016/0550-3213(88)90631-1

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Extensions of the Virasoro algebra constructed from Kac-Moody algebras using higher order Casimir invariants

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