N $$ \mathcal{N} $$ =2 supersymmetric Janus solutions and flows: from gauged supergravity to M theory

Abstract

We investigate a family of SU(3)×U(1)×U(1)-invariant holographic flows and Janus solutions obtained from gauged N = 8 supergravity in four dimensions. We give complete details of how to use the uplift formulae to obtain the corresponding solutions in M theory. While the flow solutions appear to be singular from the four-dimensional perspective, we find that the eleven-dimensional solutions are much better behaved and give rise to interesting new classes of compactification geometries that are smooth, up to orbifolds, in the infra-red limit. Our solutions involve new phases in which M2 branes polarize partially or even completely into M5 branes. We derive the eleven-dimensional supersymmetries and show that the eleven-dimensional equations of motion and BPS equations are indeed satisfied as a consequence of their four-dimensional counterparts. Apart from elucidating a whole new class of eleven-dimensional Janus and flow solutions, our work provides extensive and highly non-trivial tests of the recently-derived uplift formulae.

A universal counting of black hole microstates in AdS4

“…Similar rotated projectors have appeared in [69,70], albeit in a somewhat different class of supergravity solutions with internal fluxes. Note that the Π 3 projector can be understood as a dielectric deformation of the standard D2-brane projector due to the internal fluxes.…”

“…Together with (B.23), we have now imposed four projectors, leaving 32 × 2 −4 = 2 supercharges. We note the projectors (B.26) can be rewritten, inspired by the discussion in [69,70], in a more insightful way as where˜ is a spinor in the kernel of the unrotated projectors Π 1 , Π 2 , Π 3 , Π 4 . The only equation remaining at this point is δψ 9 = 0, which can be solved by taking˜ to be proportional to the function e λ/2 defined in (B.18).…”

Boundary terms and three-point functions: an AdS/CFT puzzle resolved

“…The consistent truncation of N = 8 studied in [62][63][64] contains three identical chiral multiplets and is trivially related to ours, as is the truncation to three chiral multiplets with W = κz 1 z 2 z 3 /L of [14].…”

Janus ABJM models with mass deformation

“…In [21], the authors considered Janus configurations using a spacetime dependent vacuum expectation value of a scalar field and a constant mass parameter. Although the Janus deformation of the ABJM theory has not been constructed yet, Janus solutions have already been studied in 11-dimensional supergravity and gauged N = 8 supergravity in 4-dimensions [23][24][25][26]. In addition, other related Janus solutions were introduced in [27][28][29].…”