Hypergeometric functions related to Schur Q-polynomials and BKP equation

2003/02/05 by A. Yu. Orlov, Orlov, A. Yu. · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical functions and polynomials #Nonlinear Waves and Solitons #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0302011

Latex, 15 pages, no figures

openalex publication_date 2003/02/05 · arxiv created 2003/02/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce hypergeometric functions related to projective Schur functions Q_λ and describe their properties. Linear equations, integral representations and Pfaffian representations are obtained. These hypergeometric functions are vacuum expectations of free fermion fields, and thus these functions are tau functions of the so-called BKP hierarchy of integrable equations.

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