Tau functions of the charged free bosons
arXiv:1912.01794 · doi:10.1007/s11425-019-1735-4
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.
24 pages