engleski

Principal Subspaces for Double Yangian DY(sl2)

We consider the realization of level 1 infinite-dimensional modules for the double Yangian DY(sl2) found by K. Iohara. We use the corresponding vertex operators to generate a family of nonlocal h-vertex algebras W_N. Finally, we construct combinatorial bases of W_N and establish a connection with the sum side of the Rogers-Ramanujan identity.

Combinatorial basis ; double Yangian ; principal subspace ; quantum vertex algebra

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