SU_q(n) Gauge Theory
High Energy Physics - Theory
2009-10-30 v2 Quantum Algebra
q-alg
Abstract
A field theory with local transformations belonging to the quantum group SU_q(n) is defined on a classical spacetime, with gauge potentials belonging to a quantum Lie algebra. Gauge transformations are defined for the potentials which lead to the appropriate quantum-group transformations for field strengths and covariant derivatives, defined for all elements of SU_q(n) by means of the adjoint action. This guarantees a non-trivial deformation. Gauge-invariant commutation relations are identified.
Cite
@article{arxiv.hep-th/9601033,
title = {SU_q(n) Gauge Theory},
author = {Anthony Sudbery},
journal= {arXiv preprint arXiv:hep-th/9601033},
year = {2009}
}
Comments
10 pages, Latex. The abstract and introduction have been hyped up to indicate more clearly what parts are refreshed by this quantum-group gauge theory that other quantum-group gauge theories cannot reach. To be published in Physics Letters B