• Corpus ID: 239050074

Algebraic structures in $\kappa$-Poincar\'e invariant gauge theories

  title={Algebraic structures in \$\kappa\$-Poincar\'e invariant gauge theories},
  author={Kilian Hersent and Philippe Mathieu and Jean-Christophe Wallet},
κ-Poincaré invariant gauge theories on κ-Minkowski space-time, 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 κ-Minkowski space-time. 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… 


Beyond the spectral standard model: emergence of Pati-Salam unification
The classification of product noncommutative spaces without the first order condition is applied and it is shown that this leads immediately to a Pati-Salam SU(2)R × SU (2)L × SU(4) type model which unifies leptons and quarks in four colors.
Traces in Number Theory, Geometry and Quantum Fields
Number theory, dynamical systems, noncommutative geometry, differential geometry and quantum field theory are five areas of mathematics represented in this volume, which presents an overview of
The following is a fundamental reading list for doctoral candidates to use as a guide in preparing for their comprehensive examination in the field of Modernism. A student is expected to have read
Die Eindeutigkeit der Schrödingerschen
  • Operatoren ”, Math. Ann
  • 1931
Gauge theories on κ-Minkowski spaces: twist and modular operators
We discuss the construction of $\kappa$-Poincare invariant actions for gauge theories on $\kappa$-Minkowski spaces. We consider various classes of untwisted and (bi)twisted differential calculi.
Minimal twist for the Standard Model in noncommutative geometry: The field content
Noncommutative geometry provides both a unified description of the Standard Model of particle physics together with Einstein-Hilbert action (in Euclidean signature) and some tools to go beyond the
Twisted BRST symmetry in gauge theories on κ- Minkowski
  • Phys. Rev. D
  • 2021
Twisted Spectral Triples without the First-Order Condition
We extend twisted inner fluctuations to twisted spectral triples that do not meet the twisted first order condition, following what has been done in [6] for the non twisted case. We find a similar
Wallet, “Single Extra Dimension from κ-Poincaré and Gauge Invariance
  • JHEP
  • 2021
Single extra dimension from κ-Poincaré and gauge invariance
We show that $\kappa$-Poincar\'e invariant gauge theories on $\kappa$-Minkowski space with physically acceptable commutative (low energy) limit must be 5-d. The gauge invariance requirement of the