Abstract

We give a large class of supersymmetric Janus solutions in omega -deformed (dyonic) SO(8) maximal gauged supergravity with omega =frac{pi }{8}. Unlike the purely electric counterpart, the dyonic SO(8) gauged supergravity exhibits a richer structure of AdS_4 vacua with N=8,2,1,1 supersymmetries and SO(8), U(3), G_2 and SU(3) symmetries, respectively. Similarly, domain walls interpolating among these critical points show a very rich structure as well. In this paper, we show that this gauged supergravity also accommodates a number of interesting supersymmetric Janus solutions in the form of AdS_3-sliced domain walls asymptotically interpolating between the aforementioned AdS_4 geometries. These solutions could be holographically interpreted as two-dimensional conformal defects within the superconformal field theories (SCFTs) of ABJM type dual to the AdS_4 vacua. We also give a class of solutions interpolating among the SO(8), G_2 and U(3) AdS_4 vacua in the case of omega =0 which have not previously appeared in the presently known Janus solutions of electric SO(8) gauged supergravity.

Highlights

  • We are interested in supersymmetric Janus solutions of dyonic S O(8) gauged supergravity in four dimensions constructed in [15], see [16]

  • We have studied supersymmetric Janus solutions of four-dimensional N = 8 gauged supergravity with dyonic S O(8) gauge group in SU (3) invariant sector

  • In addition to the G2/G2 Janus found in [18], we have found an S O(8)/U (3) Janus together with S O(8)/G2 and G2/G2 solutions that flow to the U (3) critical point

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Summary

Introduction

We are interested in supersymmetric Janus solutions of dyonic S O(8) gauged supergravity in four dimensions constructed in [15], see [16]. We study solutions in the full SU (3) invariant scalar sector, we consider Janus solutions with ω = 0 that involve all Ad S4 critical points with S O(8), G2 and U (3) symmetry. The fundamental SU (8) index I splits as I = (1, a, 1ˆ, a) for a = 2, 3, 4 and a = 2ˆ, 3ˆ, 4ˆ Both electric and magnetic vector fields can participate in the gauging. The S L(8) generators take a block-diagonal form, and various components of the embedding tensor corresponding to the gauge group G are given by [.

BPS equations for Janus solutions
Conclusions and discussions
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