Asymptotic symmetries of Maxwell Chern–Simons gravity with torsion

Abstract

We present a three-dimensional Chern–Simons gravity based on a deformation of the Maxwell algebra. This symmetry allows introduction of a non-vanishing torsion to the Maxwell Chern–Simons theory, whose action recovers the Mielke–Baekler model for particular values of the coupling constants. By considering suitable boundary conditions, we show that the asymptotic symmetry is given by the $$\widehat{{\mathfrak {bms}}}_3\oplus {\mathfrak {vir}}$$ bms ^ 3 ⊕ vir algebra with three independent central charges.

Three-dimensional non-relativistic extended supergravity with cosmological constant

“…Nevertheless, teleparallel gravity is characterized by a vanishing curvature and a non-vanishing torsion describing a non-Riemannian geometry denoted as Weizenböck geometry. In three spacetime dimensions, the role of torsion in black hole solutions and boundary dynamics has been of particular interest [6][7][8][9][10][11][12]. As it was shown in [6][7][8], torsional three-dimensional gravity theory possesses a BTZ-like black hole solution whose thermodynamic properties have been studied in [13][14][15].…”

Three-dimensional teleparallel Chern-Simons supergravity theory

“…Another aspect that deserves further investigation is the Maxwellian version of the teleparallel supergravity. A Maxwell generalization of three-dimensional gravity with torsion has been presented in [12]. Such construction has been obtained from a deformation of the so-called Maxwell algebra [46,47] which has proved to have several applications in the gravity context [48][49][50][51][52][53][54][55][56][57].…”

“…In three spacetime dimensions, there has been an interest in exploring black hole solutions and boundary symmetries of gravity theories with torsion [6][7][8][9][10][11][12]. In particular, threedimensional gravity with torsion possesses a BTZ-like black hole solution [6][7][8] whose thermodynamic properties have been analyzed in [13][14][15] using different approaches.…”

Dual diffeomorphisms and finite distance asymptotic symmetries in 3d gravity

“…The subleading term is exact and given by −f ′ (c 1 N + c 2 M)/r. At null infinity, which is reached for r → ∞, we can separate the charge into its null and angular components by writing D ∞ B (ξ) = E(f ) + L(g), and we find the algebra [68,69]…”