Abstract
A class of mathrm{AdS}_2times Sigma _2, with Sigma _2 being a two-sphere or a hyperbolic space, solutions within four-dimensional N=4 gauged supergravity coupled to three-vector multiplets with dyonic gauging is identified. The gauged supergravity has a non-semisimple SO(3)ltimes ({mathbf {T}}^3,hat{{mathbf {T}}}^3) gauge group and can be obtained from a consistent truncation of 11-dimensional supergravity on a tri-sasakian manifold. The maximally symmetric vacua contain mathrm{AdS}_4 geometries with N=1,3 supersymmetry corresponding to N=1 and N=3 superconformal field theories (SCFTs) in three dimensions. We find supersymmetric solutions of the form mathrm{AdS}_2times Sigma _2 preserving two supercharges. These solutions describe twisted compactifications of the dual N=1 and N=3 SCFTs and should arise as near horizon geometries of dyonic black holes in asymptotically mathrm{AdS}_4 space-time. Most solutions have hyperbolic horizons although some of them exhibit spherical horizons. These provide a new class of mathrm{AdS}_2times Sigma _2 geometries with known M-theory origin.
Highlights
Apart from giving deep insight to strongly coupled gauge theories and string/M-theory compactifications in various dimensions, the AdS/CFT correspondence has been recently used to explain the entropy of asymptotically AdS4 black holes [1,2,3]
In the dual gravity solutions, the black holes interpolate between the asymptotically AdS4 and the near horizon AdS2 × 2 geometries. These can be interpreted as RG flows from three-dimensional superconformal field theories (SCFTs) in the form of Chern–Simons–Matter (CSM) theories possibly with flavor matters to superconformal quantum mechanics corresponding to the AdS2 geometry
We look for the AdS2 × 2 fixed points of the above BPS flow equations with constant scalars. These solutions should correspond to IR fixed points of the RG flows from twisted compactifications of the dual N = 3 and N = 1 SCFTs in three dimensions
Summary
Apart from giving deep insight to strongly coupled gauge theories and string/M-theory compactifications in various dimensions, the AdS/CFT correspondence has been recently used to explain the entropy of asymptotically AdS4 black holes [1,2,3]. We consider N = 4 gauged supergravity constructed in the embedding tensor formalism in [32] This construction is the most general supersymmetric gaugins of N = 4 supergravity in which both the “electric” vector fields, appearing in the ungauged Lagrangian, and their magnetic duals can participate. We will consider dyonic gauging involving both electric and magnetic vector fields In this case, both AM+ and AM− enter the Lagrangian, and fαM N P with α = ± are non-vanishing. These relations are useful in simplifying the BPS equations resulting from the supersymmetry transformations Note that these relations are slightly different from those given in [32] due to a different convention on Vα in terms of the scalar τ. This results in some sign changes in the above equations compared to those of [32]
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
