Level $-1/2$ realization of quantum N-toroidal algebras in type $C_n$

preprint2020arXivOpen access

We construct a level $-\frac{1}{2}$ vertex representation of the quantum N-toroidal algebra for type $C_n$ , which is a natural generalization of the usual quantum toroidal algebra. The construction also provides a vertex representation of the quantum toroidal algebra for type $C_n$ as a by-product.

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Level $-1/2$ realization of quantum N-toroidal algebras in type $C_n$

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Level −1/2-1/2−1/2 realization of quantum N-toroidal algebras in type CnC_nCn​

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Level $-1/2$ realization of quantum N-toroidal algebras in type $C_n$