Tau functions of the charged free bosons
Quantum Algebra
2020-11-16 v2 Mathematical Physics
math.MP
Abstract
We study bosonic tau functions in relation with the charged free bosonic fields. It is proved that up to a constant the only tau function in the Fock space M is the vacuum vector, and some tau functions were given in the completion of M using Schur functions. We also give a new proof of Borchardt's identity and obtain several q-series identities by using the boson-boson correspondence.
Keywords
Cite
@article{arxiv.1912.01794,
title = {Tau functions of the charged free bosons},
author = {Naihuan Jing and Zhijun Li},
journal= {arXiv preprint arXiv:1912.01794},
year = {2020}
}
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24 pages