On Stabilization of Maxwell-BMS Algebra

TL;DR

This paper explores various deformations of the Maxwell algebra's asymptotic symmetries in 3D gravity, revealing new infinite-dimensional algebras and their physical implications.

Contribution

It introduces new families of infinite-dimensional algebras as deformations of the Maxwell algebra and analyzes their stability, including the twisted Schrödinger-Virasoro algebra, with central extensions.

Findings

Identification of deformed algebras including Witt and BMS3+Witt

Discovery of new algebra families M(a,b;c,d) and ar{M}(ar{eta};ar{ u})

Physical implications of the deformed algebras discussed

Abstract

In this work we present different infinite dimensional algebras which appear as deformations of the asymptotic symmetry of the three-dimensional Chern-Simons gravity for the Maxwell algebra. We study rigidity and stability of the infinite dimensional enhancement of the Maxwell algebra. In particular, we show that three copies of the Witt algebra and the BMS3+Witt algebra are obtained by deforming its ideal part. New family of infinite dimensional algebras are obtained by considering deformations of the other commutators which we have denoted as M(a,b;c,d) and \bar{M}(\bar{\alpha},\bar{\beta};\bar{\nu}). Interestingly, for the specific values a=c=d=0, b=-\frac{1}{2} the obtained algebra M(0,-\frac{1}{2};0,0) corresponds to the twisted Schrodinger-Virasoro algebra. The central extensions of our results are also explored. The physical implications and relevance of the deformed algebras introduced here are discussed along the work.