Abstract

The S-fold description of Janus-type solutions of type IIB supergravity is investigated. This is done by first studying a U(1) × U (1) invariant sector of the four­ dimensional dyonically-gauged [SO(1) × SO(6)] × ℝ12 maximal supergravity that arises upon reduction of type IIB supergravity on ℝ × S5. Two AdS4 solutions preserving SU(3) and SO (6) gauge symmetry together with mathcal{N} = 1 and mathcal{N} = 0 supersymmetry are found within this sector. Fetching techniques from the E 7(7) exceptional field theory, these solutions are uplifted to ten-dimensional S-folds of type IIB Janus-type solutions of the form AdS4 × ℝ × M5. The solutions presented here are natural candidates for the holographic duals of three-dimensional mathcal{N} = 1 and mathcal{N} = 0 interface super-Yang-Mills theories with SU(3) and SU(4) internal symmetry.

Highlights

  • N = 1 [8, 9], 2 [8] supersymmetry have been found which preserve less supersymmetry and partially break the SO(8) gauge group via the Higgs mechanism

  • The first class of S-folds preserves N = 1 supersymmetry and an SU(3) symmetry originating from an internal geometry of the form M5 = CP2 ⋊ S1

  • The additional U(1)β symmetry associated with S1 is broken due to the presence of three-form fluxes

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Summary

Scalar potential and AdS4 solutions

Rezi in produces a residual symmetry enhancement to SU(3) within the maximal theory despite the fact that the gauge group in (2.28) is fully broken, in agreement with the grouptheoretical embeddings in (2.7) and (2.8) This new N = 1 / SU(3) AdS4 solution has the same normalised scalar mass spectrum as its counterparts in the dyonically-gauged SO(8). Setting this time Rezi = 0 in (2.37) makes the solution preserve a larger SO(6) ∼ SU(4) symmetry within the maximal theory, in agreement with the grouptheoretical embeddings in (2.7) and (2.8) This SO(6) invariant solution, together with its normalised scalar mass spectrum, was reported in [26] (see solution x in table 4 therein)

Uplift to S-folds of type IIB supergravity
Exceptional Field Theory and consistent truncations
Type IIB uplift of AdS4 solutions
Summary of type IIB backgrounds
S-fold interpretation
Conclusions
A Canonical Sasaki-Einstein structure on S5
B Type IIB supergravity
F P1P2P3
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