English

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

Representation Theory 2024-06-21 v1 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

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

Keywords

Cite

@article{arxiv.2406.13120,
  title  = {A different approach to positive traces on generalized q-Weyl algebras},
  author = {Daniil Klyuev},
  journal= {arXiv preprint arXiv:2406.13120},
  year   = {2024}
}

Comments

6 pages, slightly different version to appear in the Proceedings of the 15-th International Workshop "Lie Theory and Its Applications in Physics" (LT-15), 19-25 June 2023, Varna, Bulgaria