Algebraic structures in κ-Poincaré invariant gauge theories

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: International Journal of Geometric Methods in Modern Physics

سال: 2022

ISSN: ['0219-8878', '1793-6977']

DOI: https://doi.org/10.1142/s0219887822500785