Supersymmetric Janus solutions in four-dimensional N=3 gauged supergravity

preprint2016arXivOpen access

Abstract

We construct supersymmetric Janus solutions using four-dimensional N=3N=3 gauged supergravity with SO(3)×SU(3)SO(3)\times SU(3) gauge group. The N=3N=3 supersymmetric AdS4AdS_4 vacuum with unbroken SO(3)×SU(3)SO(3)\times SU(3), identified with the compactification of eleven-dimensional supergravity on AdS4×N010AdS_4\times N^{010}, provides a gravity dual of supersymmetric N=3N=3 Chern-Simons-Matter theory in three dimensions with SU(3)SU(3) flavor symmetry. The Janus solutions accordingly describe supersymmetric conformal interfaces within this Chern-Simons-Matter theory via the AdS/CFT holography. We find two classes of Janus solutions preserving respectively (2,1)(2,1) and (0,1)(0,1) supersymmetry on the (1+1)(1+1)-dimensional conformal defects. The solution with (2,1)(2,1) supersymmetry preserves SO(2)×SO(2)×SO(2)⊂SO(3)×SU(3)SO(2)\times SO(2)\times SO(2)\subset SO(3)\times SU(3) symmetry while the (0,1)(0,1) supersymmetric solution is invariant under a larger SO(2)×SU(2)×SO(2)SO(2)\times SU(2)\times SO(2) symmetry.

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