Supersymmetric Janus solutions of dyonic ISO(7)-gauged $$ \mathcal{N} $$ = 8 supergravity

Abstract

We study supersymmetric Janus solutions of dyonic ISO(7)-gauged N = 8 supergravity. We mostly find Janus solutions flowing to 3d N = 8 SYM phase which is the worldvolume theory on D2-branes and non-conformal. There are also solutions flowing from the critical points which are dual to 3d SCFTs from deformations of the D2-brane theory.

S-folds and holographic RG flows on the D3-brane

“…Type IIA. The dyonic ISO(7) supergravity [22] has been shown to contain a rich structure of AdS 4 vacua [22][23][24][25], asymptotically AdS black hole [26,27], Janus [28] and domainwall [29,30] solutions. Using the uplift formulae in [31] the AdS 4 vacua have been uplifted to AdS 4 × S 6 backgrounds of massive type IIA supergravity [20,31,32] which further extend to well-defined backgrounds of string theory.…”

Holographic interfaces in $$ \mathcal{N} $$ = 4 SYM: Janus and J-folds

“…Once the five-dimensional Janus solution has been constructed, the explicit uplift formulae in [18] can be used to find the full type IIB background. Indeed, this approach has been proven useful and supersymmetric Janus solutions in various dimensions with embedding in string or M-theory were constructed in [11,[19][20][21][22][23][24][25].…”

The Hamilton-Jacobi equation and holographic renormalization group flows on sphere

“…From a contemporary perspective, curved BPS domain walls appear mainly in two different contexts of supergravity. One is as Janus solutions which have AdS space as the slice [9][10][11][12][13][14][15][16][17][18][19][20][21], and the other is holographic renormalization group flow with mass deformation dual to gauge field theory defined on the sphere [22][23][24][25][26], which is of our interest in this paper. Note that, applying the Hamilton-Jacobi formalism to general relativity problems, in particular to holographic renormalization and AdS black holes where the radial coordinate is interpreted as "time" has a long history [27][28][29][30][31][32][33][34][35][36][37][38][39][40].…”

“…(3.38) − 945163γ 8 + 280039γ 10 + 528186γ 12 + 260072γ 14 + 59539γ 16 + 5311γ 18 ) , W = − gγ 8 (2 + γ 2 ) 30240(1 + γ 2 ) 5 (−90720 − 337008γ 2 − 484148γ 4 − 273218γ 6 (3.40) + 54413γ 8 + 157602γ 10 + 85180γ 12 + 20099γ 14 + 1805γ 16 ).…”