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arXiv · 1902.10049

Boson-fermion correspondence for Hall-Littlewood polynomials revisited

Gabriel Necoechea·Natasha Rozhkovskaya
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Abstract

We connect twisted vertex operator presentation of Hall-Littlewood polynomials with the action of charged free fermions, describe a boson-fermion correspondence that relates twisted vertex operators with classical Heisenberg algebra. We also show that the elements of the orthogonal to Schur functions basis of the one-parameter deformation of the ring of symmetric functions $\Lambda[t]$ are $\tau$-functions of KP hierarchy.

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Gabriel Necoechea, Natasha Rozhkovskaya. 2019-02-26. Boson-fermion correspondence for Hall-Littlewood polynomials revisited. https://arxiv.org/abs/1902.10049

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