Number Of Abelian Vector Multiplets Research Articles

Supersymmetry anomalies in new minimal supergravity

We determine the general structure of quantum anomalies for the R-multiplet of four dimensional mathcal{N} = 1 supersymmetric quantum field theories in the presence of background fields for an arbitrary number of Abelian flavor multiplets. By solving the Wess-Zumino consistency conditions for off-shell new minimal supergravity in four dimensions with an arbitrary number of Abelian vector multiplets, we compute the anomaly in the conservation of the supercurrent to leading non trivial order in the gravitino and vector multiplet fermions. We find that both R-symmetry and flavor anomalies necessarily lead to a supersymmetry anomaly, thus generalizing our earlier results to non superconformal theories with Abelian flavor symmetries. The anomaly in the conservation of the supercurrent leads to an anomalous transformation for the supercurrent under rigid supersymmetry on bosonic backgrounds that admit new minimal Killing spinors. The resulting deformation of the supersymmetry algebra has implications for supersymmetric localization computations on such backgrounds.

Explicit Orbit Classification of Reducible Jordan Algebras and Freudenthal Triple Systems

We determine explicit orbit representatives of reducible Jordan algebras and their corresponding Freudenthal triple systems. This work has direct application to the classification of extremal black hole solutions of $${\mathcal{N}=2}$$ , 4 locally supersymmetric theories of gravity coupled to an arbitrary number of Abelian vector multiplets in D = 4, 5 space-time dimensions.

The timelike half-supersymmetric backgrounds ofN=2,D=4supergravity with Fayet-Iliopoulos gauging

Subject to some relatively mild assumptions, we derive the complete form of all timelike half-supersymmetric solutions to N=2, D=4 gauged supergravity coupled to an arbitrary number of abelian vector multiplets. This is done using spinorial geometry techniques. Explicit examples are given for a simple prepotential. Among the solutions, there are near-horizon geometries of extremal rotating BPS black holes still to be discovered, with a nontrivial dependence of the scalar fields on one of the horizon coordinates.

Erratum: Half-supersymmetric solutions in five-dimensional supergravity

We present a systematic classification of half-supersymmetric solutions of gauged N=2, D=5 supergravity coupled to an arbitrary number of abelian vector multiplets for which at least one of the Killing spinors generate a time-like Killing vector.

All null supersymmetric backgrounds of gauged supergravity coupled to Abelian vector multiplets

The lightlike supersymmetric solutions of gauged supergravity coupled to an arbitrary number of Abelian vector multiplets are classified using spinorial geometry techniques. The solutions fall into two classes, depending on whether the Killing spinor is constant or not. In both cases, we give explicit examples of supersymmetric backgrounds. Among these BPS solutions, which preserve one quarter of the supersymmetry, there are gravitational waves propagating on domain walls or on bubbles of nothing that asymptote to AdS4. Furthermore, we obtain the additional constraints obeyed by half-supersymmetric vacua. These are divided into four categories that include bubbles of nothing which are asymptotically AdS4, pp-waves on domain walls, and spacetimes conformal to AdS3 times an interval.

Five dimensional non-supersymmetric black holes and strings

We study non-supersymmetric solutions of five dimensional N=2 supergravity theories coupled to an arbitrary number of abelian vector multiplets. The solutions constructed can be considered as deformations of known supersymmetric black hole and string solutions. General constraints coming from the analysis of the equations of motion are derived. These represent explicit conditions on the charges of the black holes and strings. The constraints are analyzed for theories where the scalar manifolds are symmetric spaces and explicit solutions are constructed in cases where the prepotential of the theory factorizes into a linear and a quadratic term.

Null half-supersymmetric solutions in five-dimensional supergravity

We classify half-supersymmetric solutions of gauged N=2, D=5 supergravity coupled to an arbitrary number of abelian vector multiplets for which all of the Killing spinors generate null Killing vectors. We show that there are four classes of solutions, and in each class we find the metric, scalars and gauge field strengths. When the scalar manifold is symmetric, the solutions correspond to a class of local near horizon geometries recently found by Kunduri and Lucietti.

All timelike supersymmetric solutions of 𝒩 = 2,D= 4 gauged supergravity coupled to abelian vector multiplets

The timelike supersymmetric solutions of N=2, D=4 gauged supergravity coupled to an arbitrary number of abelian vector multiplets are classified using spinorial geometry techniques. We show that the generalized holonomy group for vacua preserving N supersymmetries is GL((8-N)/2,C) $\ltimes$ N/2 C^((8-N)/2) $\subseteq$ GL(8,R), where N=0,2,4,6,8. The spacetime turns out to be a fibration over a three-dimensional base manifold with U(1) holonomy and nontrivial torsion. Our results can be used to construct new supersymmetric AdS black holes with nontrivial scalar fields turned on.

Vanishing preons in the fifth dimension

We examine supersymmetric solutions of N = 2, D = 5 gauged supergravity coupled to an arbitrary number of Abelian vector multiplets using the spinorial geometry method. By making use of methods developed in Gran et al (2006 Preprint hep-th/0606049) to analyse preons in type IIB supergravity, we show that there are no solutions preserving exactly 3/4 of the supersymmetry.

N = 4 central charge superspace for supergravity coupled to n Abelian vector multiplets

We present a description in central charge superspace of N = 4 supergravity with antisymmetric tensor coupled to an arbitrary number of Abelian vector multiplets. All the gauge vectors of the coupled system are treated on the same footing as gauge fields corresponding to translations along additional bosonic coordinates. It is the geometry of the antisymmetric tensor which singles out which combinations of these vectors belong to the supergravity multiplet and which are the additional coupled ones. Moreover, basic properties of the Chapline–Manton coupling mechanism, as well as the sigma model of the Yang–Mills scalars, are found as arising from superspace geometry.

Metrics admitting killing spinors in five dimensions

BPS black hole configurations which break half of supersymmetry in the theory of N=2, d=5 supergravity coupled to an arbitrary number of abelian vector multiplets are discussed. A general class of solutions comprising all known BPS rotating black hole solutions is obtained.

Matter coupling in N = 4 supergravity

An arbitrary number of abelian vector multiplets is coupled to N = 4 supergravity. The resulting action is invariant under global SO( n,6), where n is the number of vector multiplets, and under local SU(4)×U(1) transformations. The scalar fields of the theory parametrize the manifold [SO( n,6)/SO( n)×SO(6)]×[SU(1,1)/U(1)]. The role of the matter fields of the N = 4 Weyl multiplet in the Poincaré supergravity theory is clarified.