The Unreasonable Effectiveness of Higher-Derivative Supergravity in AdS${}_4$ Holography

Abstract

We study four-derivative corrections to four-dimensional $\mathcal{N}=2$ minimal gauged supergravity and show that they are controlled by two real constants. The solutions of the equations of motion in the two-derivative theory are not modified by the higher-derivative corrections. We use this to derive a general formula for the regularized on-shell action for any asymptotically locally AdS${}_4$ solution of the theory and show how the higher-derivative corrections affect black hole thermodynamic quantities in a universal way. We employ our results in the context of holography to derive explicit expressions for the subleading corrections in the large $N$ expansion of supersymmetric partition functions on various compact manifolds for a large class of three-dimensional SCFTs.

6 pages

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Cited by in corpus (45)

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• Large $N$ Partition Functions of the ABJM Theory
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• Squashing, Mass, and Holography for 3d Sphere Free Energy
• Factorization of log-corrections in AdS${}_4$/CFT${}_3$ from supergravity localization
• ABJM at finite $N$ via 4d supergravity
• 4d N=2 supergravity observables from Nekrasov-like partition functions
• Gravitational Cardy Limit and AdS Black Hole Entropy
• Higher Derivative Supergravities in Diverse Dimensions
• Higher-Derivative Supergravity, Wrapped M5-branes, and Theories of Class $\mathcal{R}$
• Large $N$ Superconformal Indices for 3d Holographic SCFTs
• Universal Logarithmic Behavior in Microstate Counting and the Dual One-loop Entropy of AdS${}_4$ Black Holes
• Supersymmetric phases of AdS${}_4$/CFT${}_3$
• Boundary terms and conserved charges in higher-derivative gauged supergravity
• On curvature-squared invariants of minimal five-dimensional supergravity from superspace
• Comments on ABJM free energy on $S^3$ at large $N$ and perturbative expansions in M-theory and string theory
• The Supersymmetry of Higher-Derivative Supergravity in AdS${}_4$ Holography
• 4d F(4) gauged supergravity and black holes of class $\mathcal{F}$
• Hyper-Dilaton Weyl Multiplets of 5D and 6D Minimal Conformal Supergravity
• N = 3 Conformal Supergravity in Four Dimensions
• Consistent truncations in higher derivative supergravity
• Conformal bounds in three dimensions from entanglement entropy
• The Near-Horizon Geometry of Supersymmetric Rotating AdS${}_4$ Black Holes in M-theory
• Higher derivative corrections to Kerr-AdS black hole thermodynamics
• Background subtraction method is not only much simpler, but also as applicable as covariant counterterm method
• Higher derivative invariants in four dimensional N=3 Poincare supergravity
• Maximally symmetric nuts in 4d $\mathcal{N}=2$ higher derivative supergravity
• Quantum entropy of BMPV black holes and the topological M-theory conjecture
• Black holes and Large $N$ complex saddles in 3D-3D correspondence
• Microscopics of de Sitter Entropy from Precision Holography
• Force-free higher derivative Einstein-Maxwell theory and multi-centered black holes
• Spin Structures and AdS${}_4$ Holography
• Subleading corrections to the $S^3$ free energy of necklace quiver theories dual to massive IIA
• Higher-Derivative Supergravity, AdS${}_4$ Holography, and Black Holes
• Exact large $N$ expansion of $\mathcal{N}=4$ circular quiver Chern-Simons theories and squashing
• Constant maps in equivariant topological strings and geometric modeling of fluxes
• Subleading Corrections in N=3 Gaiotto-Tomasiello Theory
• Black hole thermodynamics at 4 derivatives, natural variables and BPS limits
• Fermi-gas correlators of ADHM theory and triality symmetry
• The Holographic Contributions to the Sphere Free Energy
• Six-dimensional $\mathcal{N}=(2,0)$ Conformal Superspace
• Hyper-Dilaton Weyl Multiplet of 4D, $\mathcal{N}=2$ Conformal Supergravity
• Off-shell phase diagram of BPS black holes in AdS${}_5$
• Four-derivative Corrections to Minimal Gauged Supergravity in Five Dimensions