Justin F. Vazquez-Poritz

Extremal static AdS black hole/CFT correspondence in gauged supergravities

Abstract A recently proposed holographic duality allows the Bekenstein–Hawking entropy of extremal rotating black holes to be calculated microscopically, by applying the Cardy formula to the two-dimensional chiral CFTs associated with certain reparameterisations of azimuthal angular coordinates in the solutions. The central charges are proportional to the angular momenta of the black hole, and so the method degenerates in the case of static (non-rotating) black holes. We show that the method can be extended to encompass such charged static extremal AdS black holes by using consistent Kaluza–Klein sphere reduction ansatze to lift them to exact solutions in the low-energy limits of string theory or M-theory, where the electric charges become reinterpreted as angular momenta associated with internal rotations in the reduction sphere. We illustrate the procedure for the examples of extremal charged static AdS black holes in four, five, six and seven dimensions.

Spacelike strings and jet quenching from a Wilson loop

We investigate stationary string solutions with spacelike worldsheet in a five- dimensional AdS black hole background, and find that there are many branches of such solutions. Using a non-perturbative definition of the jet quenching parameter proposed by Liu et. al., hep-ph/0605178, we take the lightlike limit of these solutions to evaluate the jet quenching parameter in an N = 4 super Yang-Mills thermal bath. We show that this proposed definition gives zero jet quenching parameter, independent of how the lightlike limit is taken. In particular, the minimum-action solution giving the dominant contribution to the Wilson loop has a leading behavior that is linear, rather than quadratic, in the quark separation.

Open Wilson Lines and Chiral Condensates in Thermal Holographic QCD

We investigate various aspects of a proposal by Aharony and Kutasov [O. Aharony and D. Kutasov, Phys. Rev. D 78, 026005 (2008).] for the gravity dual of an open Wilson line in the Sakai-Sugimoto model or its noncompact version. In particular, we use their proposal to determine the effect of finite temperature, as well as background electric and magnetic fields, on the chiral symmetry breaking order parameter. We also generalize their prescription to more complicated worldsheets and identify the operators dual to such worldsheets.

Bound orbits of solar sails and general relativity

Abstract We study general relativistic effects on the bound orbits of solar sails. The combined effects of spacetime curvature and solar radiation pressure (SRP) lead to deviations from Kepler’s third law. Such kind of deviations also arise from frame dragging, the gravitational multipole moments of the sun, a net electric charge on the sun, and a positive cosmological constant. The SRP increases these deviations by several orders of magnitude, possibly rendering some of them detectable. We consider how the SRP modifies the perihelion shift of non-circular orbits, as well as the Lense-Thirring effect involving the precession of polar orbits. We investigate how the pitch angle for non-Keplerian orbits changes due to the partial absorption of light, general relativistic effects, and the oblateness of the sun. It is predicted that there is an analog of the Lense-Thirring effect for non-Keplerian orbits, in that the orbital plane precesses around the sun. We also consider the Poynting–Robertson effect and show that this effect can, in principle, be compensated for by an extremely small tilt of the solar sail.

Solar radiation pressure and deviations from Keplerian orbits

Newtonian gravity and general relativity give exactly the same expression for the period of an object in circular orbit around a static central mass. However, when the effects of the curvature of spacetime and solar radiation pressure are considered simultaneously for a solar sail propelled satellite, there is a deviation from Keplers third law. It is shown that solar radiation pressure affects the period of this satellite in two ways: by effectively decreasing the solar mass, thereby increasing the period, and by enhancing the effects of other phenomena, potentially rendering some of them detectable. In particular, we consider deviations from Keplerian orbits due to spacetime curvature, frame dragging from the rotation of the sun, the oblateness of the sun, a possible net electric charge of the sun, and a very small positive cosmological constant.

Non-singular twisted S-branes from rotating branes

We show that rotating p-brane solutions admit an analytical continuation to become twisted Sp-branes. Although a rotating p-brane has a naked singularity for large angular momenta, the corresponding S-brane configuration is regular everywhere and exhibits a smooth bounce between two phases of Minkowski spacetime. If the foliating hyperbolic space of the transverse space is of even dimension, such as for the twisted SM5-brane, then for an appropriate choice of parameters the solution smoothly flows from a warped product of two-dimensional de Sitter spacetime, five-dimensional euclidean space and a hyperbolic 4-space in the infinite past to Minkowski spacetime in the infinite future. We also show that non-singular S-Kerr solutions can arise from higher-dimensional Kerr black holes, so long as all (all but one) angular momenta are non-vanishing for even (odd) dimensions.

Warped Ricci-flat reductions

We present a simple class of warped-product vacuum (Ricci-flat) solutions to ten- and eleven-dimensional supergravity, where the internal space is flat and noncompact and the warp factor supports de Sitter (dS) and anti-de Sitter (AdS) vacua, in addition to trivial Minkowski vacua with compact internal spaces. We outline the construction of consistent Kaluza-Klein reductions and show that, although our vacuum solutions are nonsupersymmetric, these are closely related to the bosonic part of well-known maximally supersymmetric reductions on spheres. We comment on the stability of our solutions, noting that (A)dS(3) vacua pass routine stability tests.

Resolved Calabi–Yau cones and flows from Labc superconformal field theories

Abstract We discuss D3-branes on cohomogeneity-three resolved Calabi–Yau cones over L a b c spaces, for which a 2-cycle or 4-cycle has been blown up. In terms of the dual quiver gauge theory, this corresponds to motion along the non-mesonic, or baryonic, directions in the moduli space of vacua. In particular, a dimension-two and/or dimension-six scalar operator gets a vacuum expectation value. These resolved cones support various harmonic ( 2 , 1 ) -forms which reduce the ranks of some of the gauge groups either by a Seiberg duality cascade or by Higgsing. We also discuss higher-dimensional resolved Calabi–Yau cones. In particular, we obtain square-integrable ( 2 , 2 ) -forms for eight-dimensional cohomogeneity-four Calabi–Yau metrics.

New supersymmetric solutions of N = 2, D = 5 gauged supergravity with hyperscalars

We construct new supersymmetric solutions, including AdS bubbles, in an N = 2 truncation of five-dimensional N = 8 gauged supergravity. This particular trun- cation is given by N = 2 gauged supergravity coupled to two vector multiples and three incomplete hypermultiplets, and was originally investigated in the context of obtaining reg- ular AdS bubble geometries with multiple active R-charges. We focus on cohomogeneity- one solutions corresponding to objects with two equal angular momenta and up to three independent R-charges. Curiously, we find a new set of zero and negative mass solitons asymptotic to AdS5/Zk, for k ≥ 3, which are everywhere regular without closed timelike curves.

DynamicCmetrics in gauged supergravities

We construct an exact time-dependent charged dilaton C-metric in four-dimensional