Abstract
We explore the construction of supersymmetric solutions of theories of N=2,d=4 supergravity with a SU(2) gauging and SU(2) Fayet–Iliopoulos terms. In these theories an SU(2) isometry subgroup of the Special-Kähler manifold is gauged together with a SU(2) R-symmetry subgroup. We construct several solutions of the CP‾3 quadratic model directly in four dimensions and of the ST[2,6] model by dimensional reduction of the solutions found by Cariglia and Mac Conamhna in N=(1,0),d=6 supergravity with the same kind of gauging. In the CP‾3 model, we construct an AdS2×S2 solution which is only 1/8 BPS and an R×H3 solutions that also preserves 1 of the 8 possible supersymmetries. We show how to use dimensional reduction as in the ungauged case to obtain Rn×Sm and also AdSn×Sm-type solutions (with different radii) in 5- and 4-dimensions from the 6-dimensional AdS3×S3 solution.
Highlights
The study of supersymmetric solution of supergravity theories has been one of the most fruitful areas of research in this field over the last few years providing, for instance, backgrounds for string theory with clear spacetime interpretation such as black holes, rings, or branes, their near-horizon geometries, pp-waves etc. on which the strings can be quantized consistently
Gauging the latter is necessary for gauging the SU(2) factor of the R-symmetry group because the global symmetry being gauged has to act on the gauge fields in the adjoint representation and, for the gauging to respect supersymmetry, it must act on the complete vector supermultiplets, including the scalars and this action must, be an isometry of the metric
We are ready to describe the form of the fields of the timelike supersymmetric solutions: 12 In absence of FI terms, the gaugini λi I transform as the scalars and vector fields in the same supermultiplets, on the i, j, . . . indices
Summary
The study of supersymmetric solution of supergravity theories has been one of the most fruitful areas of research in this field over the last few years providing, for instance, backgrounds for string theory with clear spacetime interpretation such as black holes, rings, or branes, their near-horizon geometries, pp-waves etc. on which the strings can be quantized consistently. One can just gauge a non-Abelian subgroup of the isometry group of the Special Kähler manifold of the complex scalars from the vector multiplets.. The SU(2)-FI-gauged N = 2, d = 4 theories can be seen as deformations of the N = 2, d = 4 SEYM theories in which the SU(2) factor of the R-symmetry group is gauged simultaneously with an SU(2) subgroup of the isometry group of the Special Kähler manifold Gauging the latter is necessary for gauging the SU(2) factor of the R-symmetry group because the global symmetry being gauged has to act on the gauge fields in the adjoint representation and, for the gauging to respect supersymmetry, it must act on the complete vector supermultiplets, including the scalars and this action must, be an isometry of the metric.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
