# Light-like κ-deformations and scalar field theory via Drinfeld twist

@article{Juric2015LightlikeA, title={Light-like $\kappa$-deformations and scalar field theory via Drinfeld twist}, author={Tajron Juri'c and Stjepan Meljanac and Andjelo Samsarov}, journal={Journal of Physics: Conference Series}, year={2015}, volume={634} }

In this article we will use the Drinfeld twist leading to light-like κ-deformations of Poincaré algebra. We shall apply the standard Hopf algebra methods in order to define the star-product, which shall be used to formulate a scalar field theory compatible with κ-Poincaré-Hopf algebra. Using this approach we show that there is no problem with formulating integration on κ-Minkowski space and no need for introducing a new measure. We have shown that the ★-product obtained from this twist enables…

## 16 Citations

### O ct 2 01 5 Realizations of κ-Minkowski space , Drinfeld twists and related symmetry algebras

- Mathematics
- 2018

Realizations of κ-Minkowski space linear in momenta are studied for time-, spaceand light-like deformations. We construct and classify all such linear realizations and express them in terms of gl(n)…

### Twisted statistics and the structure of Lie-deformed Minkowski spaces

- Mathematics
- 2017

We show that the realizations of noncommutative coordinates that are linear in the Lorentz generators form a closed Lie algebra under certain conditions. The star product and the coproduct for the…

### Associative realizations of κ -deformed extended Snyder model

- MathematicsPhysical Review D
- 2021

Usually, the realizations of the noncommutative Snyder model lead to a nonassociative star product. However, it has been shown that this problem can be avoided by adding to the spacetime coordinates…

### Interplay between Spacetime Curvature, Speed of Light and Quantum Deformations of Relativistic Symmetries

- PhysicsSymmetry
- 2021

The properties and relations of these algebras of relativistic symmetries and their associated noncommutative spacetimes are surveyed, emphasizing the nontrivial effects of interplay between curvature, quantum deformation and speed of light parameters.

### Star Products that can not be induced by Drinfel'd Twists

- Mathematics
- 2016

This is the final version of my master thesis. I prove that there are no twist star products on the 2-sphere and on the higher genus pretzel surfaces deforming a symplectic structure. One of the key…

### The Weyl-Mellin quantization map for $\kappa$-Minkowski Noncommutative Spacetime.

- Mathematics
- 2020

We present a quantization of the functions of spacetime, i.e.\ a map, analog to Weyl map, which reproduces the $\kappa$-Minkowski commutation relations, and it has the desirable properties of mapping…

### Deformed Quantum Phase Spaces, Realizations, Star Products and Twists

- Physics
- 2021

. We review deformed quantum phase spaces and their realizations in terms of undeformed phase space. In particular, methods of calculation for the star product, coproduct of momenta and twist from…

### Some features of scattering problem in a κ‐Deformed minkowski spacetime

- Physics
- 2016

The doubly special relativity (DSR) theories are suggested in order to incorporate an observer‐independent length scale in special theory of relativity. The Magueijo‐Smolin proposal of DSR is…

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