Abstract
We study an SO(2)times SO(2)times SO(2)times SO(2) truncation of four-dimensional N=4 gauged supergravity coupled to six vector multiplets with SO(4)times SO(4) gauge group and find a new class of holographic RG flows and supersymmetric Janus solutions. In this truncation, there is a unique N=4 supersymmetric AdS_4 vacuum dual to an N=4 SCFT in three dimensions. In the presence of the axion, the RG flows generally preserve N=2 supersymmetry while the supersymmetry is enhanced to N=4 for vanishing axion. We find solutions interpolating between the AdS_4 vacuum and singular geometries with different residual symmetries. We also show that all the singularities are physically acceptable within the framework of four-dimensional gauged supergravity. Accordingly, the solutions are holographically dual to RG flows from the N=4 SCFT to a number of non-conformal phases in the IR. We also find N=4 and N=2 Janus solutions with SO(4)times SO(4) and SO(2)times SO(2)times SO(3)times SO(2) symmetries, respectively. The former is obtained from a truncation of all scalars from vector multiplets and can be regarded as a solution of pure N=4 gauged supergravity. On the other hand, the latter is a genuine solution of the full matter-coupled theory. These solutions describe conformal interfaces in the N=4 SCFT with N=(4,0) and N=(2,0) supersymmetries.
Highlights
Conformal field theories (CFT) and the presence of conformal interfaces or defects within the parent conformal field theories (CFT)
We will give a new class of holographic RG flows and supersymmetric Janus solutions within mattercoupled N = 4 gauged supergravity with S O(4) × S O(4) gauge group
We have studied a number of holographic RG flows from matter-coupled N = 4 gauged supergravity with S O(4) × S O(4) gauge group by truncating to S O(2) × S O(2) × S O(2) × S O(2) singlet scalars
Summary
There are AdS/CFT dualities in many spacetime dimensions, AdS4/CFT3 correspondence attracts much attention due to the relevance in describing world-volume dynamics of M2-branes, the fundamental degrees of freedom in M-theory. The analysis of the existence of maximally supersymmetric Ad S4 vacua given in [48], see [46,47] for an earlier result, requires the gaugings to involve both electric and magnetic vector fields with the corresponding gauge groups embedded solely in S O(6, n) This implies that both electric and magnetic components of fαM N P must be non-vanishing and ξ αM = 0. To parametrize the S O(6, 6)/S O(6) × S O(6) coset representative, we first define S O(6, 6) generators in the fundamental representation by The truncation of this gauged supergravity to S O(4)diag ∼ S O(3)diag × S O(3)diag singlet scalars has already been studied in [17] in which a number of supersymmetric Ad S4 critical points and domain walls interpolating between them have been given.
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