Action of Clifford algebra on the space of sequences of transfer operators

2018/01/17 by Natasha Rozhkovskaya, Rozhkovskaya, Natasha
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1801.05514

11 pages, 1 figure

arxiv created 2018/01/17 · arxiv updated 2018/01/18

Abstract

We deduce from a determinant identity on quantum transfer matrices of generalized quantum integrable spin chain model their generating functions. We construct the isomorphism of Clifford algebra modules of sequences of transfer matrices and the boson space of symmetric functions. As an application, tau-functions of transfer matrices immediately arise from classical tau-functions of symmetric functions.

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