Algebraic structures in $\kappa$Poincaré invariant gauge theories
Abstract
$\kappa$Poincaré invariant gauge theories on $\kappa$Minkowski spacetime, which are noncommutative analogs of the usual $U(1)$ gauge theory, exist only in five dimensions. These are built from noncommutative twisted connections on a hermitian right module over the algebra coding the $\kappa$Minkowski spacetime. We show that twisting the action of this algebra on the hermitian module, assumed to be a copy of it, affects neither the value of the above dimension nor the noncommutative gauge group defined as the unitary automorphisms of the module leaving the hermitian structure unchanged. Only the hermiticity condition obeyed by the gauge potential becomes twisted. Similarities between the present framework and algebraic features of twisted spectral triples are exhibited.
 Publication:

arXiv eprints
 Pub Date:
 October 2021
 arXiv:
 arXiv:2110.10763
 Bibcode:
 2021arXiv211010763H
 Keywords:

 High Energy Physics  Theory
 EPrint:
 18 pages