Quantum Deformation of BRST Algebra

Abstract

We investigate the $q$-deformation of the BRST algebra, the algebra of the ghost, matter and gauge fields on one spacetime point using the result of the bicovariant differential calculus. There are two nilpotent operations in the algebra, the BRST transformation $\brs$ and the derivative $d$. We show that one can define the covariant commutation relations among the fields and their derivatives consistently with these two operation as well as the $\ast$-operation, the antimultiplicative inner involution.

28pages, HD-THEP-92-39, Preprint TU-411 (September, 1992), LaTeX

Cited by in corpus (7)

• SU_q(n) Gauge Theory
• Poincare'-Birkhoff-Witt property for bicovariant differential algebras on simple quantum groups
• Deformed Chern-Simons Theories
• BRS Symmetry in Connes' Non-commutative Geometry
• q$-Deformed Chern Class, Chern-Simons and Cocycle Hierarchy
• $q$-Deformed Chern Characters for Quantum Groups $S{U}_q(N)$
• Maps between Deformed and Ordinary Gauge Fields