Three-dimensional gravity with torsion as a Chern-Simons gauge theory

Abstract

We show that topological 3D gravity with torsion can be formulated as a Chern-Simons gauge theory, provided a specific parameter, known as the effective cosmological constant, is negative. In that case, the boundary dynamics of the theory corresponding to anti-de Sitter boundary conditions is described by a conformal field theory with two different central charges.

Holographic currents in first order Gravity and finite Fefferman-Graham expansions

“…In consequence, the asymptotic symmetry of three-dimensional gravity with torsion (which implies α + β = 0) and gauge group SO(1, 2) × SO(1, 2) [21] is always smaller than SO(1, 2). Therefore, in this case the Lorentz symmetry cannot be preserved asymptotically, resulting in a Lorentz anomaly in the dual quantum theory.…”

Black hole entropy from the boundary conformal structure in 3D gravity with torsion

“…In particular, it was shown that: (a) the Mielke-Baekler model in Minkowskian spacetime possesses the black hole solution, and (b) for suitable boundary conditions, its asymptotic symmetry is described by two independent Virasoro algebras with different central charges [13,16,17,19]. One is now tempted to use this Minkowskian asymptotic structure and calculate the black hole entropy in the manner of Strominger [10].…”

Gravitational and gauge couplings in Chern-Simons fractional spin gravity

“…More compactly, by representing f using its Weyl ordered symbol f (q, k), one has 17) that is, the trace operation maps the Kleinian k to −ν inside the symbol. In critical limits, one has STr Aq(2;ν) Aq 18) which means that in critical limits the model is truncated to…”