Twisting kappa-deformed phase space

TL;DR

This paper explores twisting procedures applied to κ-deformed space-time, focusing on space and time directions, and examines their effects on phase spaces and duality relations, including special cases like Jordanian twisting in two dimensions.

Contribution

It introduces and analyzes two types of twistings for κ-deformed space-time and their impact on associated phase spaces and duality relations, including specific cases like Jordanian twisting.

Findings

Only two kinds of twistings are feasible: in space and time directions.

Twisting alters duality relations in the phase space.

Jordanian twisting in D=2 provides specific insights.

Abstract

We briefly discuss the twisting procedure applied to the $\kappa$-deformed space-time. It appears that one can consider only two kinds of such twistings: in space and time directions. For both types of twisitngs we introduce related phase spaces and consider briefly their properties. We discuss in detail the changes of duality relations under the action of twist. The Jordanian twisted space-time and phase space in D=2 are also commented.