Generalized twist deformations of Poincare and Galilei Hopf algebras

TL;DR

This paper constructs three new deformed Poincare Hopf algebras using twist procedures, introduces corresponding noncommutative space-times, and explores their nonrelativistic limits to Galilei Hopf algebras.

Contribution

It presents novel deformations of Poincare Hopf algebras and their noncommutative space-times, including contraction to Galilei algebras.

Findings

Three new deformed Poincare Hopf algebras constructed

Relativistic space-times with combined canonical and Lie-algebraic noncommutativity proposed

Nonrelativistic limits to Galilei Hopf algebras obtained

Abstract

The three new deformed Poincare Hopf algebras are constructed with use of twist procedure. The corresponding relativistic space-times providing the sum of canonical and Lie-algebraic type of noncommutativity are proposed. Finally, the nonrelativistic contraction limits to the corresponding Galilei Hopf algebras are performed.