On Stabilization of Maxwell-BMS Algebra

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}(\barα,\barβ;\barν). 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.

arXiv comment27 pages

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• Three-dimensional non-relativistic extended supergravity with cosmological constant
• Asymptotic Symmetries of Maxwell Chern-Simons Gravity with Torsion
• Hypersymmetric extensions of Maxwell Chern-Simons gravity in (2+1) dimensions
• Asymptotic structure of three-dimensional Maxwell Chern-Simons gravity coupled to spin-3 fields
• Constraining dimension-6 SMEFT with higher-order predictions for $pp\to tW$
• Maxwell Chern-Simons gravity in 3D: Thermodynamics of cosmological solutions and black holes with torsion