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arXiv 2009-02-06 0 views

The integrals of motion for the elliptic deformation of the Virasoro and Wₙ algebra

Kojima, T. · Shiraishi, J.

Original · EN

We review the free field realization of the deformed Virasoro algebra Virq,ₜ and the deformed W algebra Wq,ₜ(glₙ). We explicitly construct two classes of infinitly many commutative operators Iₘ, Gₘ, (m ∈ N), in terms of these algebras. They can be regarded as the elliptic deformation of the local and nonlocal integrals of motion for the conformal field theory.

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