Matter coupled AdS3 supergravities and their black strings

Abstract

We couple n copies of N = (2, 0) scalar multiplets to a gauged N = (2, 0) supergravity in 2 + 1 dimensions which admits AdS 3 as a vacuum. The scalar fields are charged under the gauged R-symmetry group U (1) and parametrize certain Kahler manifolds with compact or noncompact isometries. The radii of these manifolds are quantized in the compact case, but arbitrary otherwise. In the compact case, we find half-supersymmetry preserving and asymptotically Minkowskian black string solutions. For a particular value of the scalar manifold radius, the solution coincides with that of Horne and Horowitz found in the context of a string theory in 2 + 1 dimensions. In the non-compact case, we find half-supersymmetry preserving and asymptotically AdS 3 string solutions which have naked singularities. We also obtain two distinct AdS 3 supergravities coupled to n copies of N = (1, 0) scalar multiplets either by the truncation of the (2, 0) model or by a direct construction.

Three-dimensionalN=2supergravity theories: From superspace to components

“…One of the main goals of this paper is to work out techniques to reduce any manifestly N = 2 locally supersymmetric theory presented in [10,11] to components. Upon elimination of the auxiliary fields, one naturally reproduces the partial component results obtained earlier in [6,7,8].…”

“…Matter couplings in three-dimensional N = 2 supergravity were thoroughly studied in the 1990s using on-shell component approaches [6,7,8] (see also [9]). More recently, off-shell formulations for general N = 2 supergravity-matter systems have systematically been developed [10,11] purely within the superspace framework, extending earlier off-shell constructions [12,13,14].…”

Calabi-Yau fourfolds with flux and supersymmetry breaking

“…Furthermore, the ω A IK are functions of Z α andZᾱ which have to obeȳ 22) but are otherwise unconstrained. In terms of these coordinates the Kähler potential is given by…”

Anti–de Sitter vacua of gauged supergravities with 8 supercharges

“…On the other hand, just as for the D=4 cases, breaking further supersymmetry (to four or only two supercharges) one expects a much richer structure (see [30]). …”