Sugawara and vertex operator constructions for deformed Virasoro algebras

Details Sugawara and vertex operator constructions for deformed Virasoro algebras Sugawara and vertex operator constructions for deformed Virasoro algebras

2006-01-11

arxiv.org/abs/math/0601250v1

AnnalesHenriPoincare7:1327-1349,2006

Mathematics

Quantum Algebra

23 pages

Scientific paper

10.1007/s00023-006-0282-8

From the defining exchange relations of the A_{q,p}(gl_{N}) elliptic quantum algebra, we construct subalgebras which can be characterized as q-deformed W_N algebras. The consistency conditions relating the parameters p,q,N and the central charge c are shown to be related to the singularity structure of the functional coefficients defining the exchange relations of specific vertex operators representations of A_{q,p}({gl_{N}) available when N=2.

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