Nick Halmagyi

Non-relativistic solutions of \mathcal{N} = 2 gauged supergravity

We find infinite families of supersymmetric solutions of four dimensional,

The backreaction of anti-D3 branes on the Klebanov-Strassler geometry

\mathcal{N} = 2

On metastable vacua and the warped deformed conifold: analytic results

gauged supergravity with Lifshitz, Schrödinger and also AdS symmetries. We focus on the canonical example of a single hypermultiplet and a single vector multiplet and find that the spectrum of solutions depends crucially on whether the gaugings are electric or magnetic but to a far milder extent on the strength of the gaugings. For purely electric or purely magnetic gaugings we generically find Lifshitz solutions, while for a mixed gauging we find Schrödinger and AdS solutions. For some of the gaugings the theory has a known lift to string/M-theory thus giving a higher dimensional embedding of our solutions.

BPS black holes in AdS 4 from M-theory

A bstractWe present the full numerical solution for the 15-dimensional space of linearized deformations of the Klebanov-Strassler background which preserve the SU(2) × SU(2) ×

The backreaction of anti-M2 branes on a warped Stenzel space

{{\mathbb{Z}}_2}

BPS black hole horizons in N=2 gauged supergravity

symmetries. We identify within this space the solution corresponding to anti-D3 branes, (modulo the presence of a certain “subleading” singularity in the infrared). All the 15 integration constants of this solution are fixed in terms of the number of anti-D3 branes, and the solution differs in the UV from the supersymmetric solution into which it is supposed to decay by a mode corresponding to a rescaling of the field theory coordinates. Deciding whether two solutions that differ in the UV by a rescaling mode are dual to the same theory is involved even for supersymmetric Klebanov-Strassler solutions, and we explain in detail some of the subtleties associated to this.

On the inflaton potential from antibranes in warped throats

Continuing the programme of constructing the backreacted solution corresponding to smeared anti-D3 branes in the warped deformed conifold, we solve analytically the equations governing the space of first-order deformations around this solution. We express the results in terms of at most three nested integrals. These are the simplest expressions for the space of -invariant deformations, in which the putative solution for smeared anti-D3 branes must live. We also explain why one cannot claim to identify this solution without fully relating the coefficients of the infrared and ultraviolet expansions of the deformation modes. The analytic solution we find is the first step in this direction.

Static BPS black holes in AdS4 with general dyonic charges

A bstractWe study supersymmetric black holes in AdS4 in the framework of four dimensional gauged

AdS black holes from duality in gauged supergravity

\mathcal{N}=2

Supersymmetric black holes in AdS4 from very special geometry

supergravity coupled to hypermultiplets. We derive the flow equations for a general electrically gauged theory where the gauge group is Abelian and, restricting them to the fixed points, we derive the gauged supergravity analogue of the attractor equations for theories coupled to hypermultiplets. The particular models we analyze are consistent truncations of M-theory on certain Sasaki-Einstein seven-manifolds. We study the space of horizon solutions of the form AdS2× Σg with both electric and magnetic charges and find a four-dimensional solution space when the theory arises from a reduction on Q111. For other SE7 reductions, the solutions space is a subspace of this. We construct explicit examples of spherically symmetric black holes numerically.