Hernan A. Gonzalez

Flat limit of three dimensional asymptotically anti–de Sitter spacetimes

In order to get a better understanding of holographic properties of gravitational theories with a vanishing cosmological constant, we analyze in detail the relation between asymptotically anti-de Sitter and asymptotically flat spacetimes in three dimensions. This relation is somewhat subtle because the limit of vanishing cosmological constant cannot be naively taken in standard Fefferman-Graham coordinates. After reformulating the standard anti-de Sitter results in Robinson-Trautman coordinates, a suitably modified Penrose limit is shown to connect both asymptotic regimes.

Asymptotically flat spacetimes in three-dimensional higher spin gravity

A bstractA consistent set of asymptotic conditions for higher spin gravity in three dimensions is proposed in the case of vanishing cosmological constant. The asymptotic symmetries are found to be spanned by a higher spin extension of the BMS3 algebra with an appropriate central extension. It is also shown that our results can be recovered from the ones recently found for asymptotically AdS3 spacetimes by virtue of a suitable gauge choice that allows to perform the vanishing cosmological constant limit.

Supertranslations and Superrotations at the Black Hole Horizon

We show that the asymptotic symmetries close to nonextremal black hole horizons are generated by an extension of supertranslations. This group is generated by a semidirect sum of Virasoro and Abelian currents. The charges associated with the asymptotic Killing symmetries satisfy the same algebra. When considering the special case of a stationary black hole, the zero mode charges correspond to the angular momentum and the entropy at the horizon.

Three-dimensional Bondi-Metzner-Sachs invariant two-dimensional field theories as the flat limit of Liouville theory

In the gravitational context, Liouville theory is the two-dimensional conformal field theory that controls the boundary dynamics of asymptotically AdS_3 spacetimes at the classical level. By taking a suitable limit of the coupling constants of the Hamiltonian formulation of Liouville, we construct and analyze a BMS_3 invariant two-dimensional field theory that is likely to control the boundary dynamics at null infinity of three dimensional asymptotically flat gravity.

Dual dynamics of three dimensional asymptotically flat Einstein gravity at null infinity

A bstractStarting from the Chern-Simons formulation, the two-dimensional dual theory for three-dimensional asymptotically flat Einstein gravity at null infinity is constructed. Solving the constraints together with suitable gauge fixing conditions gives in a first stage a chiral Wess-Zumino-Witten like model based on the Poincaré algebra in three dimensions. The next stage involves a Hamiltonian reduction to a BMS3 invariant Liouville theory. These results are connected to those originally derived in the anti-de Sitter case by rephrasing the latter in a suitable gauge before taking their flat-space limit.

Gap junctional communication coordinates vasopressin-induced glycogenolysis in rat hepatocytes

Because hepatocytes communicate via gap junctions, it has been proposed that Ca2+ waves propagate through this pathway and in the process activate Ca2+-dependent cellular responses. We testedthis hypothesis by measuring vasopressin-induced glycogenolysis in short-term cultures of rat hepatocytes. A 15-min vasopressin (10(-8) M) stimulation induced a reduction of glycogen content that reached a maximum 1-3 h later. Gap junction blockers, octanol or 18alpha-glycyrrhetinic acid, reduced the effect by 70%. The glycogenolytic response induced by Ca2+ ionophore 8-bromo-A-21387, which acts on each hepatocyte, was not affected by gap junction blockers. Moreover, the vasopressin-induced glycogenolysis was lower (70%) in dispersed than in reaggregated hepatocytes and in dispersed hepatocytes was not affected by gap junction blockers. In hepatocytes reaggregated in the presence of a synthetic peptide homologous to a domain of the extracellular loop 1 of the main hepatocyte gap junctional protein, vasopressin-induced glycogenolysis and incidence of dye coupling were drastically reduced. Moreover, gap junctional communication was detected between reaggregated cells, suggesting that hepatocytes with different vasopressin receptor densities become coupled to each other. The vasopressin-induced effect was not affected by suramin, ruling out ATP as a paracrine mediator. We propose that gap junctions allow for a coordinated vasopressin-induced glycogenolytic response despite the heterogeneity among hepatocytes.Because hepatocytes communicate via gap junctions, it has been proposed that Ca2+waves propagate through this pathway and in the process activate Ca2+-dependent cellular responses. We tested this hypothesis by measuring vasopressin-induced glycogenolysis in short-term cultures of rat hepatocytes. A 15-min vasopressin (10-8 M) stimulation induced a reduction of glycogen content that reached a maximum 1-3 h later. Gap junction blockers, octanol or 18α-glycyrrhetinic acid, reduced the effect by 70%. The glycogenolytic response induced by Ca2+ ionophore 8-bromo-A-21387, which acts on each hepatocyte, was not affected by gap junction blockers. Moreover, the vasopressin-induced glycogenolysis was lower (70%) in dispersed than in reaggregated hepatocytes and in dispersed hepatocytes was not affected by gap junction blockers. In hepatocytes reaggregated in the presence of a synthetic peptide homologous to a domain of the extracellular loop 1 of the main hepatocyte gap junctional protein, vasopressin-induced glycogenolysis and incidence of dye coupling were drastically reduced. Moreover, gap junctional communication was detected between reaggregated cells, suggesting that hepatocytes with different vasopressin receptor densities become coupled to each other. The vasopressin-induced effect was not affected by suramin, ruling out ATP as a paracrine mediator. We propose that gap junctions allow for a coordinated vasopressin-induced glycogenolytic response despite the heterogeneity among hepatocytes.

Extended symmetries at the black hole horizon

A bstractWe prove that non-extremal black holes in four-dimensional general relativity exhibit an infinite-dimensional symmetry in their near horizon region. By prescribing a physically sensible set of boundary conditions at the horizon, we derive the algebra of asymptotic Killing vectors, which is shown to be infinite-dimensional and includes, in particular, two sets of supertranslations and two mutually commuting copies of the Witt algebra. We define the surface charges associated to the asymptotic diffeomorphisms that preserve the boundary conditions and discuss the subtleties of this definition, such as the integrability conditions and the correct definition of the Dirac brackets. When evaluated on the stationary solutions, the only non-vanishing charges are the zero-modes. One of them reproduces the Bekenstein-Hawking entropy of Kerr black holes. We also study the extremal limit, recovering the NHEK geometry. In this singular case, where the algebra of charges and the integrability conditions get modified, we find that the computation of the zero-modes correctly reproduces the black hole entropy. Furthermore, we analyze the case of three spacetime dimensions, in which the integrability conditions notably simplify and the field equations can be solved analytically to produce a family of exact solutions that realize the boundary conditions explicitly. We examine other features, such as the form of the algebra in the extremal limit and the relation to other works in the literature.

Field theories with anisotropic scaling in 2D, solitons and the microscopic entropy of asymptotically Lifshitz black holes

A bstractField theories with anisotropic scaling in 1 + 1 dimensions are considered. It is shown that the isomorphism between Lifshitz algebras with dynamical exponents z and z−1 naturally leads to a duality between low and high temperature regimes. Assuming the existence of gap in the spectrum, this duality allows to obtain a precise formula for the asymptotic growth of the number of states with a fixed energy which depends on z and the energy of the ground state, and reduces to the Cardy formula for z = 1.The holographic realization of the duality can be naturally inferred from the fact that Euclidean Lifshitz spaces in three dimensions with dynamical exponents and characteristic lengths given by z, l, and z−1, z−1l, respectively, are diffeomorphic. The semiclassical entropy of black holes with Lifshitz asymptotics can then be recovered from the generalization of Cardy formula, where the ground state corresponds to a soliton. An explicit example is provided by the existence of a purely gravitational soliton solution for BHT massive gravity, which precisely has the required energy that reproduces the entropy of the analytic asymptotically Lifshitz black hole with z = 3.Remarkably, neither the asymptotic symmetries nor central charges were explicitly used in order to obtain these results.

BMS Modules in Three Dimensions

We build unitary representations of the BMS algebra and its higher-spin extensions in three dimensions, using induced representations as a guide. Our prescription naturally emerges from an ultrarelativistic limit of highest-weight representations of Virasoro and W algebras, which is to be contrasted with non-relativistic limits that typically give non-unitary representations. To support this dichotomy, we also point out that the ultrarelativistic and non-relativistic limits of generic W algebras differ in the structure of their non-linear terms.

Rotating higher spin partition functions and extended BMS symmetries

A bstractWe evaluate one-loop partition functions of higher-spin fields in thermal flat space with angular potentials; this computation is performed in arbitrary space-time dimension, and the result is a simple combination of Poincaré characters. We then focus on dimension three, showing that suitable products of one-loop partition functions coincide with vacuum characters of higher-spin asymptotic symmetry algebras at null infinity. These are extensions of the bms3 algebra that emerges in pure gravity, and we propose a way to build their unitary representations and to compute the associated characters. We also extend our investigations to supergravity and to a class of gauge theories involving higher-spin fermionic fields.