33 research outputs found
AdS Carroll Chern-Simons supergravity in 2+1 dimensions and its flat limit
Carroll symmetries arise when the velocity of light is sent to zero
(ultra-relativistic limit). In this paper, we present the construction of the
three-dimensional Chern-Simons supergravity theory invariant under the
so-called AdS Carroll superalgebra, which was obtained in the literature as a
contraction of the AdS superalgebra. The action is characterized by two
coupling constants. Subsequently, we study its flat limit, obtaining the
three-dimensional Chern-Simons supergravity theory invariant under the
super-Carroll algebra, which is a contraction of the Poincar\'e superalgebra.
We apply the flat limit at the level of the superalgebra, Chern-Simons action,
supersymmetry transformation laws, and field equations.Comment: V2, 17 pages, version accepted for publication in Physics Letters
Supersymmetric near-horizon geometry and Einstein-Cartan-Weyl spaces
We show that the horizon geometry for supersymmetric black hole solutions of
minimal five-dimensional gauged supergravity is that of a particular
Einstein-Cartan-Weyl (ECW) structure in three dimensions, involving the trace
and traceless part of both torsion and nonmetricity, and obeying some precise
constraints. In the limit of zero cosmological constant, the set of nonlinear
partial differential equations characterizing this ECW structure reduces
correctly to that of a hyper-CR Einstein-Weyl structure in the Gauduchon gauge,
which was shown by Dunajski, Gutowski and Sabra to be the horizon geometry in
the ungauged BPS case.Comment: 15 page
Parity Violating Metric-Affine Gravity Theories
We study a parity violating Metric-Affine gravitational theory given by the
Einstein-Hilbert action plus the so-called Holst term in vacuum. We find out
that for a certain value of the Barbero-Immirzi parameter the total action
possesses a remarkable invariance under particular transformations of the
affine connection. We prove that in all cases, with appropriate gauge choices,
the connection reduces to the Levi-Civita one and that the theory turns out to
be equivalent to general relativity in vacuum. Subsequently, we generalize our
discussion and analyze the case of Metric-Affine gravity plus the Holst
term. In particular, we show that for the theory
results to be on-shell equivalent to a metric-compatible torsionless
Scalar-Tensor model. Matter coupling of the aforementioned models is also
discussed, together with explicit examples and applications.Comment: 38 page
N-extended Chern-Simons Carrollian supergravities in 2+1 spacetime dimensions
In this work we present the ultra-relativistic -extended AdS
Chern-Simons supergravity theories in three spacetime dimensions invariant
under -extended AdS Carroll superalgebras. We first consider the
and cases; subsequently, we generalize our analysis to
, with even, and to
, with . The -extended AdS Carroll
superalgebras are obtained through the Carrollian (i.e., ultra-relativistic)
contraction applied to an extension of , to , to an
extension of , and to the direct sum of an algebra and ,
respectively. We also analyze the flat limit (, being
the length parameter) of the aforementioned -extended
Chern-Simons AdS Carroll supergravities, in which we recover the
ultra-relativistic -extended (flat) Chern-Simons supergravity
theories invariant under -extended super-Carroll algebras. The
flat limit is applied at the level of the superalgebras, Chern-Simons actions,
supersymmetry transformation laws, and field equations.Comment: 48 pages. Version accepted for publication in Journal of High Energy
Physic
Schr\"odinger connection with selfdual nonmetricity vector in 2+1 dimensions
We present a three-dimensional metric affine theory of gravity whose field
equations lead to a connection introduced by Schr\"odinger many decades ago.
Although involving nonmetricity, the Schr\"odinger connection preserves the
length of vectors under parallel transport, and appears thus to be more
physical than the one proposed by Weyl. By considering solutions with constant
scalar curvature, we obtain a self-duality relation for the nonmetricity vector
which implies a Proca equation that may also be interpreted in terms of
inhomogeneous Maxwell equations emerging from affine geometry.Comment: 5 page