W-representations for multi-character partition functions and their β-deformations

2023/01/30 by Lu-Yao Wang, Wang, Lu-Yao, V. Mishnyakov +7 · 1 citation
Mathematics · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.2301.12763

openalex publication_date 2023/01/30 · openalex created_date 2023/02/02 · openalex updated_date 2026/07/28

Abstract

In this letter we continue the development of W-representations. We propose several generalizations of the known models, such as the hypergeometric Hurwitz τ-functions. We construct W-representations for multi-character expansions, which involve a generic number of sets of time variables. We propose integral representations for such kind of partition functions which are given by tensor models and multi-matrix models with multi-trace couplings. We further propose the β-deformation of the discussed W-representation for the Hurwitz case for two sets of times as well as for the multi-character case.

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