The gauging of five-dimensional, Maxwell–Einstein supergravity theories coupled to tensor multiplets

Abstract

We study the general gaugings of N = 2 Maxwell-Einstein supergravity theories (MESGT) in five dimensions, extending and generalizing previous work. The global symmetries of these theories are of the form SU (2) R ×G, where SU (2) R is the R-symmetry group of the N = 2 Poincaré superalgebra and G is the group of isometries of the scalar manifold that extend to symmetries of the full action. We first gauge a subgroup K of G by turning some of the vector fields into gauge fields of K while dualizing the remaining vector fields into tensor fields transforming in a non-trivial representation of K. Surprisingly, we find that the presence of tensor fields transforming non-trivially under the Yang-Mills gauge group leads to the introduction of a potential which does not admit an AdS ground state. Next we give the simultaneous gauging of the U (1) R subgroup of SU (2) R and a subgroup K of G in the presence of K-charged tensor multiplets. The potential introduced by the simultaneous gauging is the sum of the potentials introduced by gauging K and U (1) R separately. We present a list of possible gauge groups K and the corresponding representations of tensor fields. For the exceptional supergravity we find that one can gauge the SO * (6) subgroup of the isometry group E 6(−26) of the scalar manifold if one dualizes 12 of the vector fields to tensor fields just as in the gauged N = 8 supergravity.

Domain walls, black holes, and supersymmetric quantum mechanics

“…These are examples of symmetric spaces which typically appear as scalar field manifolds in N = 2 five-dimensional supergravity theories and also in models with additional (super-)symmetry structure [49], as we mentioned earlier.…”

Options for gauge groups in five-dimensional supergravity

“…On quite general grounds, one thus obtains the following list of conceivable types of gauge groups [11,12,17]:…”

“…Two cases have to be distinguished: (i) When the above decomposition contains no non singlets of K beyond the adjoint, it was shown in [11] that the gauging can always be performed and that the resulting theory has no scalar potential, unless one also gauges U(1) R [12] or SU(2) R [17] in addition to K.…”

The scalars of N=2, D=5 and attractor equations

“…That duality is only for Abelian couplings, but that is all that we consider here. Remark, however, that for non-Abelian theories, antisymmetric tensor multiplets lead to more general possibilities, as discussed in detail in [20].…”

“…C L(IJ f L K)M = 0, then the group can be gauged. It is for these non-Abelian theories that tensor multiplets give extra possibilities [20,2].…”