Romans Supergravity from Five-Dimensional Holograms

Abstract

We study five-dimensional superconformal field theories and their holographic dual, matter-coupled Romans supergravity. On the one hand, some recently derived formulae allow us to extract the central charges from deformations of the supersymmetric five-sphere partition function, whose large N expansion can be computed using matrix model techniques. On the other hand, the conformal and flavor central charges can be extracted from the six-dimensional supergravity action, by carefully analyzing its embedding into type I' string theory. The results match on the two sides of the holographic duality. Our results also provide analytic evidence for the symmetry enhancement in five-dimensional superconformal field theories.

57 pages, 4 figures, 6 tables; v2: references added

References in corpus (6)

• Supersymmetric Gauge Theories on the Five-Sphere
• Duality and enhancement of symmetry in 5d gauge theories
• 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

Cited by in corpus (30)

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• Gauged Six-Dimensional Supergravity from Warped IIB Reductions
• 6D attractors and black hole microstates
• Defect $a$-Theorem and $a$-Maximization
• Massive spin 2 excitations in $Ad{S}_6\times S^2$ warped spacetimes
• Holographic duals of five-dimensional SCFTs on a Riemann surface
• Black hole microstate counting in Type IIB from 5d SCFTs
• On Mellin Amplitudes in SCFTs with Eight Supercharges
• Supersymmetric Rényi entropy and charged hyperbolic black holes
• Chern-Simons theory from M5-branes and calibrated M2-branes
• 4d F(4) gauged supergravity and black holes of class $\mathcal{F}$
• Evidence for a 5d F-theorem
• Casimir Energy and Modularity in Higher-dimensional Conformal Field Theories
• The joy of factorization at large $N$: five-dimensional indices and AdS black holes
• The 5d Superconformal Index at Large $N$ and Black Holes
• Towards top-down holographic composite Higgs: minimal coset from maximal supergravity
• The Coulomb branch of N=4 SYM and dilatonic scions in supergravity
• Matrix Models and Holography: Mass Deformations of Long Quiver Theories in 5d and 3d
• Dilatonic states near holographic phase transitions
• M-theory curves from warped AdS${}_6$ in Type IIB
• On minimal Type IIB $Ad{S}_6$ solutions with commuting 7-branes
• Phases of five-dimensional supersymmetric gauge theories
• Supersymmetric probes in warped $Ad{S}_6$
• Solving Mass-deformed Holography Perturbatively
• The Hamilton-Jacobi Equation and Holographic Renormalization Group Flows on Sphere
• Large $N$ limits of supersymmetric quantum field theories: A pedagogical overview