Bilinear Expansions of KP Multipair Correlators in BKP Correlators

Aleksandr Yu. Orlov<sup>ab

a</sup> Institute of Oceanology, Moscow, Russia
^b National Research University Higher School of Economics, Moscow, Russia

Abstract: I present a generalization of our joint works with John Harnad (2021) that relates Schur functions, KP tau functions and KP correlation functions to Schur's $Q$-functions, BKP tau functions and BKP correlation functions, respectively.

Keywords: Schur function, Schur's $Q$-function, charged fermions, neutral fermions, KP tau function, BKP tau function.

MSC: 05E05, 37K10, 81R12

Received: February 3, 2024; in final form October 8, 2024; Published online October 31, 2024

Language: English

DOI: 10.3842/SIGMA.2024.098

ArXiv: 2401.06032