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Abstract
We study five-dimensional N=4 gauged supergravity coupled to five vector multiplets with compact and non-compact gauge groups U(1)times SU(2)times SU(2) and U(1)times SO(3,1). For U(1)times SU(2)times SU(2) gauge group, we identify N=4AdS_5 vacua with U(1)times SU(2)times SU(2) and U(1)times SU(2)_{text {diag}} symmetries and analytically construct the corresponding holographic RG flow interpolating between these critical points. The flow describes a deformation of the dual N=2 SCFT driven by vacuum expectation values of dimension-two operators. In addition, we study AdS_3times Sigma _2 geometries, for Sigma _2 being a two-sphere S^2 or a two-dimensional hyperbolic space H^2, dual to twisted compactifications of N=2 SCFTs with flavor symmetry SU(2). We find a number of AdS_3times H^2 solutions preserving eight supercharges for different twists from U(1)times U(1)times U(1) and U(1)times U(1)_{text {diag}} gauge fields. We numerically construct various RG flow solutions interpolating between N=4AdS_5 critical points and these AdS_3times H^2 geometries in the IR. The solutions can also be interpreted as supersymmetric black strings in asymptotically AdS_5 space. These types of holographic solutions are also studied in non-compact U(1)times SO(3,1) gauge group. In this case, only one N=4AdS_5 vacuum exists, and we give an RG flow solution from this AdS_5 to a singular geometry in the IR corresponding to an N=2 non-conformal field theory. An AdS_3times H^2 solution together with an RG flow between this vacuum and the N=4AdS_5 are also given.
Highlights
Results along this direction with less supersymmetry have appeared in [8,9,10,11]
Holographic solutions describing these N = 2 superconformal field theories (SCFTs) and their deformations are less known compared to the N = 4 Super Yang-Mills (SYM)
We mainly focus on domain wall solutions interpolating between N = 4 Ad S5 vacua or between an Ad S5 vacuum and a singular domain wall corresponding to a non-conformal field theory
Summary
Results along this direction with less supersymmetry have appeared in [8,9,10,11]. We consider holographic RG flows in half-maximal N = 4 gauged supergravity coupled to vector multiplets. The results of this paper will give more examples of supersymmetric RG flow solutions and should hopefully shed some light on strongly coupled dynamics of N = 2 SCFTs. We will consider N = 4 gauged supergravity coupled to five vector multiplets. We mainly focus on domain wall solutions interpolating between N = 4 Ad S5 vacua or between an Ad S5 vacuum and a singular domain wall corresponding to a non-conformal field theory These types of solutions have been extensively studied in half-maximal gauged supergravities in various space-time dimensions, see [10,11,14,15,16,17,18,19,20,21] for an incomplete list.
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