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A different approach to positive traces on generalized q-Weyl algebras

2024/06/19 by Daniil Klyuev, Klyuev, Daniil
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Random Matrices and Applications #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2406.13120

openalex publication_date 2024/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Positive twisted traces are mathematical objects that could be useful in computing certain parameters of superconformal field theories. The case when A is a q-Weyl algebra and ρ is a certain antilinear automorphism of A was considered in arXiv:2105.12652. Here we consider more general choices of ρ. In particular, we show that for ρ corresponding to a standard Schur index of a four-dimensional gauge theory a positive trace is unique.

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