Gauge Symmetries on $\theta$-Deformed Spaces

Abstract

A Hamiltonian formulation of gauge symmetries on noncommutative ($\theta$ deformed) spaces is discussed. Both cases- star deformed gauge transformation with normal coproduct and undeformed gauge transformation with twisted coproduct- are considered. While the structure of the gauge generator is identical in either case, there is a difference in the computation of the graded Poisson brackets that yield the gauge transformations. Our analysis provides a novel interpretation of the twisted coproduct for gauge transformations.

LaTex, 20 pages, no figures

References in corpus (5)

• Comments on noncommutative gravity
• Twisted Gauge Theories
• Twist Symmetry and Gauge Invariance
• Twist to close
• Deformed Gauge Theories

Cited by in corpus (7)

• Topics in Noncommutative Geometry Inspired Physics
• Noncommutative Differential Forms on the kappa-deformed Space
• Twisted Covariant Noncommutative Self-dual Gravity
• Symmetries of topological gravity with torsion in the hamiltonian and lagrangian formalisms
• Symmetries of $\kappa$ Minkowski space-time: A possibility of exotic momentum space geometry?
• Twisted invariances of noncommutative gauge theories
• Wilson Loops and Area-Preserving Diffeomorphisms in Twisted Noncommutative Gauge Theory