BRST Reduction of Quantum Algebras with $^*$-Involutions
Quantum Algebra
2020-06-11 v2 Mathematical Physics
math.MP
Abstract
In this paper we investigate the compatibility of the BRST reduction procedure with the Hermiticity of star products. First, we introduce the generalized notion of abstract BRST algebras with corresponding involutions. In this setting we define adjoint BRST differentials and as a consequence one gets new BRST quotients. Passing to the quantum BRST setting we show that for compact Lie groups the new quantum BRST quotient and the quantum BRST cohomology are isomorphic in zero degree implying that reduction is compatible with Hermiticity.
Cite
@article{arxiv.1910.06651,
title = {BRST Reduction of Quantum Algebras with $^*$-Involutions},
author = {Chiara Esposito and Andreas Kraft and Stefan Waldmann},
journal= {arXiv preprint arXiv:1910.06651},
year = {2020}
}
Comments
24 pages. To appear in Communications in Mathematical Physics