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

@inproceedings{Hersent2021AlgebraicSI, title={Algebraic structures in \$\kappa\$-Poincar\'e invariant gauge theories}, author={Kilian Hersent and Philippe Mathieu and Jean-Christophe Wallet}, year={2021} }

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…

## References

SHOWING 1-10 OF 74 REFERENCES

Beyond the spectral standard model: emergence of Pati-Salam unification

- Physics, Mathematics
- 2013

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

- Mathematics
- 2007

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…

Ph

- Chemistry
- 1989

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

- Physics, Mathematics
- 2020

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

- Physics, MathematicsPhysical Review D
- 2021

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

- Physics, Mathematics
- 2021

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

- Physics
- 2020

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…