Symmetries in noncommutative field theories: Hopf versus Lie
arXiv:0711.4091
Abstract
I discuss motivations for introducing Hopf algebra symmetries in noncommutative field theories and briefly describe twisting of main symmetry transformations. New results include an extended list of twisted gauge invariants (which may help to overcome the problem of inconsistency of equations of motion) and a gauge-covariant twist operator (leading to a gauge-covariant star product).
based on talk at at the Workshop on Quantum Field Theory and Representation Theory, Sao Paulo, August 21-24, 2007
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Cited by in corpus (6)
- Third-order phase transition in random tilings
- Diffeomorphism covariant star products and noncommutative gravity
- Tensor calculus on noncommutative spaces
- Twisted invariances of noncommutative gauge theories
- Poincare' Quasi-Hopf Symmetry and Non-Associative Spacetime Algebra from Twisted Gauge Theories
- Space-Time Diffeomorphisms in Noncommutative Gauge Theories