engleski

Higher level vertex operators for Uq(sl^2)

We study graded nonlocal q−vertex algebras and we prove that they can be generated by certain sets of vertex operators. As an application, we consider the family of graded nonlocal q-vertex algebras Vc, 1, c≥1, associated with the principal subspaces W(cΛ0) of the integrable highest weight Uq(slˆ2)-modules L(cΛ0). Using quantum integrability, we derive combinatorial bases for Vc, 1 and compute the corresponding character formulae.

Affine Lie algebra ; Quantum affine algebra ; Quantum vertex algebra ; Principal subspace ; Quasi-particle ; Combinatorial basis ; Rogers-Ramanujan identities

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