Justin Vazquez-Poritz

From AdS black holes to supersymmetric flux-branes

Abstract We show that AdS black hole solutions admit an analytical continuation to become magnetic flux-branes. Although a static BPS AdS black hole generally has a naked singularity, the BPS flux-brane can be regular everywhere with an appropriate choice of U ( 1 ) -charges. This flux-brane interpolates from AdS D − 2 × H 2 at small distance to an asymptotic AdS D -type metric with an AdS D − 2 × S 1 boundary. We also obtain a smooth cosmological solution of de Sitter Einstein–Maxwell gravity which flows from dS 2 × S D − 2 in the infinite past to a dS D -type metric, with an S D − 2 × S 1 boundary, in the infinite future.

Penrose limits of non-standard brane intersections

The non-standard intersection of two 5-branes and a string can give rise to AdS3 × S3 × S3 × S1. We consider the Penrose limit of this geometry and study the supersymmetry of the resulting pp-wave solution. There is a one-parameter family of Penrose limits associated with the orthogonal rotation of the two foliating circles within the two 3-spheres. Supernumerary Killing spinors arise only when the rotation angle is 45°, for which case we obtain the corresponding light-cone string action that has linearly-realized supersymmetry. We also obtain Penrose limits of other non-standard intersections that give rise to the product of AdS3 or AdS2 and 2-spheres. The resulting pp-waves are supported by multiple constant field strengths.

Interpolating from AdSD-2 × S2 to AdSD

Abstract We investigate a large class of supersymmetric magnetic brane solutions supported by U(1) gauge fields in AdS gauged supergravities. We obtain first-order equations in terms of a superpotential. In particular, we find systems which interpolate between AdS D−2 ×Ω 2 (where Ω 2 =S 2 or H2) at the horizon and AdSD-type geometry in the asymptotic region, for 4⩽D⩽7. The boundary geometry of the AdSD-type metric is Minkowski D−3 ×Ω 2 . This provides smooth supergravity solutions for which the boundary of the AdS spacetime compactifies spontaneously. These solutions indicate the existence of a large class of superconformal field theories in diverse dimensions whose renormalization group flow runs from the UV to the IR fixed-point. We show that the same set of first-order equations also admits solutions which are asymptotically AdS D−2 ×Ω 2 but singular at small distance. This implies that the stationary AdS D−2 ×Ω 2 solutions typically lie on the inflection points of the modulus space.

AdS spacetime in warped spacetimes

We obtain a large class of AdS spacetimes warped with certain internal spaces in 11-dimensional and type IIA or IIB supergravities. The warp factors depend only on the internal coordinates. These solutions arise as the near-horizon geometries of more general semilocalized multi-intersections of p-branes. We achieve this by noting that any sphere (or AdS spacetime) of dimension greater than 3 can be viewed as a foliation involving

A supersymmetric and smooth compactification of M-theory to AdS5

{\mathrm{S}}^{3}

Absorption by extremal D3-branes

(or

S1-wrapped D3-branes on conifolds

{\mathrm{AdS}}_{3}).

Four-dimensional Einstein-Yang-Mills-de Sitter gravity from eleven-dimensions

Then the

Resolution of overlapping branes

{\mathrm{S}}^{3}

From de Sitter to de Sitter

(or