Introduces metric-deformed q-gauge theories via a deformed covariant derivative tied to spacetime-dependent metric factors and constructs corresponding gauge-invariant actions for Yang-Mills and fermions.
Gauge theories of quantum groups
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abstract
We find two different q-generalizations of Yang-Mills theories. The corresponding lagrangians are invariant under the q-analogue of infinitesimal gauge transformations. We explicitly give the lagrangian and the transformation rules for the bicovariant q-deformation of $SU(2) \times U(1)$. The gauge potentials satisfy q-commutations, as one expects from the differential geometry of quantum groups. However, in one of the two schemes we present, the field strengths do commute.
fields
math-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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A Metric-Deformed $q$-Gauge Dirac Equation
Introduces metric-deformed q-gauge theories via a deformed covariant derivative tied to spacetime-dependent metric factors and constructs corresponding gauge-invariant actions for Yang-Mills and fermions.