Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 20 (2024), 098, 32 pages      arXiv:2401.06032      https://doi.org/10.3842/SIGMA.2024.098

Bilinear Expansions of KP Multipair Correlators in BKP Correlators

Aleksandr Yu. Orlov ab
a) National Research University Higher School of Economics, Moscow, Russia
b) Institute of Oceanology, Moscow, Russia

Received February 03, 2024, in final form October 08, 2024; Published online October 31, 2024

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.

Key words: Schur function; Schur's $Q$-function; charged fermions; neutral fermions; KP tau function; BKP tau function.

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