Abstract

We use the recipe of [1] to find half-BPS near-horizon geometries in the t3 model of N = 2, D = 4 gauged supergravity, and explicitely construct some new examples. Among these are black holes with noncompact horizons, but also with spherical horizons that have conical singularities (spikes) at one of the two poles. A particular family of them is extended to the full black hole geometry. Applying a double-Wick rotation to the near-horizon region, we obtain solutions with NUT charge that asymptote to curved domain walls with AdS3 world volume. These new solutions may provide interesting testgrounds to address fundamental questions related to quantum gravity and holography.

Highlights

  • In these contexts, cubic models are of special interest

  • A particular family of them is extended to the full black hole geometry

  • A special subcase is the so-called t3 model, where the three vector multiplets are identified and which will be considered in this work

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Summary

The theory and BPS equations

Where G = (gI , gI )t represents the symplectic vector of gauge couplings, L = V, G , ∆ denotes the covariant Laplacian associated to the base space metric (2.15), and V in (2.19). As was shown in [1], the solution with constant scalars is the near-horizon limit of the supersymmetric rotating hyperbolic black holes in minimal gauged supergravity [6]. This can be rewritten in a Kähler-covariant form, as a differential equation for the symplectic section V, DY V

Half-BPS rotating near-horizon geometries
The first solution
The second solution
Black hole extension
Analytical continuation to NUT black holes
NUT black holes

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