Superextension of Jordanian Deformation for U(osp(1|2))and its Generalizations

TL;DR

This paper introduces a Jordanian nonstandard deformation of the superalgebra U(osp(1|2)) using twist quantization, and discusses extensions to higher symmetries relevant for deformed AdS and super-Poincaré structures.

Contribution

It presents a novel Jordanian deformation of U(osp(1|2)) and explores its potential generalizations to larger superalgebras like U(osp(1|4)).

Findings

Jordanian deformation of U(osp(1|2)) described using twist quantization.

Extension framework for U(osp(1|4)) and deformed AdS symmetries outlined.

Potential applications to super-Poincaré limit discussed.

Abstract

We describe Jordanian ``nonstandard'' deformation of U(osp(1|2)) by employing the twist quantization technique. An extension of these results to U(osp(1|4))describing deformed graded D=4 $AdS$ symmetries and to their super-Poincar\'{e} limit is outlined.