Mass deformations of 5d SCFTs via holography

Abstract

Using six-dimensional Euclidean $F(4)$ gauged supergravity we construct a holographic renormalization group flow for a CFT on $S^5$. Numerical solutions to the BPS equations are obtained and the free energy of the theory on $S^5$ is determined holographically by calculation of the renormalized on-shell supergravity action. In the process, we deal with subtle issues such as holographic renormalization and addition of finite counterterms. We then propose a candidate field theory dual to these solutions. This tentative dual is a supersymmetry-preserving deformation of the strongly-coupled non-Lagrangian SCFT derived from the D4-D8 system in string theory. In the IR, this theory is a mass deformation of a $USp(2N)$ gauge theory. A localization calculation of the free energy is performed for this IR theory, which for reasonably small values of the deformation parameter is found to match with the free energy calculated holographically.

43 pages, 8 figures, v2: references added, name of 2nd author corrected, v3: typos corrected, improvement of section 5

References in corpus (9)

• Lectures on Gauged Supergravity and Flux Compactifications
• Supersymmetric Gauge Theories on the Five-Sphere
• Entanglement entropy vs. free energy in IIB supergravity duals for 5d SCFTs
• Janus solutions in six-dimensional gauged supergravity
• Supersymmetric gauge theories on squashed five-spheres and their gravity duals
• 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
• Supersymmetric $Ad{S}_6$ vacua in six-dimensional $N=(1,1)$ gauged supergravity

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• 6D attractors and black hole microstates
• Spherical Branes
• Supersymmetric AdS${}_7$ and AdS${}_6$ vacua and their consistent truncations with vector multiplets
• Mass Deformations of the ABJM Theory: The Holographic Free Energy
• Holographic line defects in F(4) gauged supergravity
• Supersymmetry breaking deformations and phase transitions in five dimensions
• 4d F(4) gauged supergravity and black holes of class $\mathcal{F}$
• Re-visiting Supersymmetric Janus Solutions: A Perturbative Construction
• Towards top-down holographic composite Higgs: minimal coset from maximal supergravity
• The 5d Superconformal Index at Large $N$ and Black Holes
• Matrix Models and Holography: Mass Deformations of Long Quiver Theories in 5d and 3d
• The Coulomb branch of N=4 SYM and dilatonic scions in supergravity
• M-theory curves from warped AdS${}_6$ in Type IIB
• Dilatonic states near holographic phase transitions
• On non-supersymmetric fixed points in five dimensions
• Solving Mass-deformed Holography Perturbatively
• Perturbative solutions of $\mathcal{N}=1^{\ast }$ holography on $S^4$
• On-shell action and the Bekenstein-Hawking entropy of supersymmetric black holes in $Ad{S}_6$
• Janus and RG-flow interfaces from matter-coupled F(4) gauged supergravity
• Janus and RG-flow interfaces from 5D N=4 gauged supergravity
• Holographic RG flows and Janus interfaces from ISO(3)xU(1) F(4) gauged supergravity
• The Hamilton-Jacobi Equation and Holographic Renormalization Group Flows on Sphere