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 {mathfrak{bms}}_3oplus mathfrak{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 overline{M}left(overline{alpha},overline{beta};overline{nu}right) . Interestingly, for the specific values a = c = d = 0, b=-frac{1}{2} the obtained algebra Mleft(0,-frac{1}{2};0,0right) corresponds to the twisted Schrödinger-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.
Highlights
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
Motivated by the diverse applications of the Maxwell algebra and by the recent results obtained through deformation of asymptotic symmetries,here we explore deformations of the infinite dimensional extension of the 3d Maxwell algebra given by the Max3 algebra
We find that the Max3 algebra can be deformed to a four parameter family algebra that we call M (a, b; c, d) where for specific value of parameters it is the asymptotic symmetry of Schrodinger spacetimes [33]
Summary
We briefly review the Maxwell algebra, its deformations and its infinite dimensional enhancement in 2 + 1 spacetime dimensions. The discussion about how such infinite dimensional algebra can be obtained as extension and deformation of bms algebra is presented
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