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arXiv · hep-th/9601033

SU_q(n) Gauge Theory

Anthony Sudbery
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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.

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Anthony Sudbery. 1996-02-29. SU_q(n) Gauge Theory. https://doi.org/10.1016/0370-2693(96)00211-0

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