Janus solutions in six-dimensional gauged supergravity

Abstract

Motivated by an analysis of the sub-superalgebras of the five-dimensional superconformal algebra $F(4)$, we search for the holographic duals to co-dimension one superconformal defects in 5d CFTs which have $SO(4,2)\oplus U(1)$ bosonic symmetry. In particular, we look for domain wall solutions to six-dimensional $F(4)$ gauged supergravity coupled to a single vector multiplet. It is found that supersymmetric domain wall solutions do not exist unless there is a non-trivial profile for one of the vector multiplet scalars which is charged under the gauged $SU(2)$ R-symmetry. This non-trivial profile breaks the $SU(2)$ to $U(1)$, thus matching expectations from the superalgebra analysis. A consistent set of BPS equations is then obtained and solved numerically. While the numerical solutions are generically singular and thought to be dual to boundary CFTs, it is found that for certain fine-tuned choices of parameters regular Janus solutions may be obtained.

35 pages, pdf-latex, 9 figures. v2: minor corrections, reference added

References in corpus (16)

• Exact half-BPS Type IIB interface solutions I: Local solution and supersymmetric Janus
• Holographic Wilson Loops
• Lectures on Gauged Supergravity and Flux Compactifications
• Gluon and Wilson loop TMDs for hadrons of spin $\le$ 1
• On gravitational description of Wilson lines
• AdS_6 solutions of type II supergravity
• Exact Half-BPS Flux Solutions in M-theory II: Global solutions asymptotic to AdS_7 x S^4
• Half-BPS supergravity solutions and superalgebras
• Entanglement entropy vs. free energy in IIB supergravity duals for 5d SCFTs
• Supersymmetric Rényi Entropy in Five Dimensions
• The gravity dual of supersymmetric gauge theories on a squashed five-sphere
• The holographic supersymmetric Renyi entropy in five dimensions
• On 1/2-BPS Wilson-'t Hooft loops
• A note on entanglement entropy and regularization in holographic interface theories
• Supersymmetric $Ad{S}_6$ vacua in six-dimensional $N=(1,1)$ gauged supergravity
• (p,q)-strings probing five-brane webs

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