Jan Rosseel

Spin-3 gravity in three-dimensional flat space.

Hamid Afshar, ∗ Arjun Bagchi, 3, † Reza Fareghbal, 4, ‡ Daniel Grumiller, § and Jan Rosseel ¶ Institute for Theoretical Physics, Vienna University of Technology, Wiedner Hauptstrasse 8–10/136, A-1040 Vienna, Austria School of Mathematics, University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom Indian Institute of Science Education and Research (IISER), Pune, Maharashtra 411008, India School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran (Dated: May 11, 2014)

Modes of log gravity

The physical modes of a recently proposed D-dimensional critical gravity, linearized about its anti-de Sitter vacuum, are investigated. All log mode solutions, which we categorize as spin-2 or Proca, arise as limits of the massive spin-2 modes of the noncritical theory. The linearized Einstein tensor of a spin-2 log mode is itself a nongauge solution of the linearized Einstein equations whereas the linearized Einstein tensor of a Proca mode takes the form of a linearized general coordinate transformation. Our results suggest the existence of a holographically dual logarithmic conformal field theory.

Three-dimensional tricritical gravity

We consider a class of parity-even, six-derivative gravity theories in three dimensions. After linearizing around anti-de Sitter space, the theories have one massless and two massive graviton solutions for generic values of the parameters. At a special, so-called tricritical, point in parameter space the two massive graviton solutions become massless, and they are replaced by two solutions with logarithmic and logarithmic-squared boundary behavior. The theory at this point is conjectured to be dual to a rank-3 logarithmic conformal field theory whose boundary stress tensor, central charges, and new anomaly we calculate. We also calculate the conserved Abbott-Deser-Tekin charges. At the tricritical point, these vanish for excitations that obey Brown-Henneaux and logarithmic boundary conditions, while they are generically nonzero for excitations that show logarithmic-squared boundary behavior. This suggests that a truncation of the tricritical gravity theory and its corresponding dual logarithmic conformal field theory can be realized either via boundary conditions on the allowed gravitational excitations, or via restriction to a zero-charge subsector. We comment on the structure of the truncated theory.

Newton-Cartan supergravity with torsion and Schrodinger supergravity

A bstractWe derive a torsionfull version of three-dimensional N=2

Three-Dimensional Extended Bargmann Supergravity

mathcal{N}=2

Off-shell D=5, N=2 Riemann squared supergravity

Newton-Cartan supergravity using a non-relativistic notion of the superconformal tensor calculus. The “superconformal” theory that we start with is Schrödinger supergravity which we obtain by gauging the Schrödinger superalgebra. We present two non-relativistic N=2

A non-relativistic logarithmic conformal field theory from a holographic point of view

mathcal{N}=2