The Holography of F-maximization

Abstract

We find new supersymmetric backgrounds of $\mathcal{N}=8$ gauged supergravity in four Euclidean dimensions that are dual to deformations of ABJM theory on $S^3$. The deformations encode the most general choice of $U(1{)}_R$ symmetry used to define the theory on $S^3$. We work within an $\mathcal{N}=2$ truncation of the $\mathcal{N}=8$ supergravity theory obtained via a group theory argument. We find perfect agreement between the $S^3$ free energy computed from our supergravity backgrounds and the previous field theory computations of the same quantity based on supersymmetric localization and matrix model techniques.

48 pages; v2 minor improvements

References in corpus (5)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Algebraic structures on parallel M2-branes
• Contact Terms, Unitarity, and F-Maximization in Three-Dimensional Superconformal Theories
• The supersymmetric NUTs and bolts of holography
• Supersymmetric Multi-trace Boundary Conditions in AdS

Cited by in corpus (78)

• The $\mathcal{N}=8$ Superconformal Bootstrap in Three Dimensions
• The BPS limit of rotating AdS black hole thermodynamics
• Holography for $\mathcal{N}=2^{\ast }$ on $S^4$
• Euclidean Black Saddles and AdS${}_4$ Black Holes
• Instanton effects in ABJM theory with general R-charge assignments
• Holographic renormalization and supersymmetry
• Three-dimensional $\mathcal{N}=2$ supersymmetric gauge theories and partition functions on Seifert manifolds: A review
• Boundary Terms and Three-Point Functions: An AdS/CFT Puzzle Resolved
• Universal 3d Cardy Block and Black Hole Entropy
• Mass-deformed ABJM and Black Holes in AdS${}_4$
• Holography for $\mathcal{N}=1^{\ast }$ on $S^4$
• Large $N$ Partition Functions of the ABJM Theory
• The F-Theorem and F-Maximization
• Partition functions on 3d circle bundles and their gravity duals
• On the quantum entropy function in 4d gauged supergravity
• A Practical Approach to the Hamilton-Jacobi Formulation of Holographic Renormalization
• Spherical Branes
• Squashing, Mass, and Holography for 3d Sphere Free Energy
• Entropy functional and the holographic attractor mechanism
• Holographic RG flows on curved manifolds and the $F$-theorem
• Quantum Phase Transitions in Mass-Deformed ABJM Matrix Model
• Supersymmetric Rényi entropy and charged hyperbolic black holes
• ABJM at finite $N$ via 4d supergravity
• Mass deformations of 5d SCFTs via holography
• Mass Deformations of the ABJM Theory: The Holographic Free Energy
• 4d N=2 supergravity observables from Nekrasov-like partition functions
• A new N=1 AdS4 Vacuum of Maximal Supergravity
• $\mathcal{N}=2$ Supersymmetric Janus Solutions and Flows: From Gauged Supergravity to M Theory
• Large N behavior of mass deformed ABJM theory
• On the On-Shell: The Action of AdS${}_4$ Black Holes
• Spatially modulated and supersymmetric mass deformations of $\mathcal{N}=4$ SYM
• Supersymmetric phases of AdS${}_4$/CFT${}_3$
• Supersymmetric Janus solutions of dyonic $ISO(7)$-gauged $\mathcal{N}=8$ supergravity
• Susy Q and spatially modulated deformations of ABJM theory
• Superconformal RG interfaces in holography
• 4d F(4) gauged supergravity and black holes of class $\mathcal{F}$
• Flowing to Higher Dimensions: A New Strongly-Coupled Phase on M2 Branes
• Supersymmetric Yang-Mills, Spherical Branes, and Precision Holography
• Fermi surface behavior in the ABJM M2-brane theory
• Embedding the SU(3) sector of SO(8) supergravity in $D=11$
• Double-Trace Flows and the Swampland
• Mass Deformed ABJM Theory on Three Sphere in Large N limit
• dS${}_2$ Supergravity
• Flowing to $\mathcal{N}=3$ Chern--Simons-matter theory
• Re-visiting Supersymmetric Janus Solutions: A Perturbative Construction
• Matrix Models and Holography: Mass Deformations of Long Quiver Theories in 5d and 3d
• Gravity duals of supersymmetric gauge theories on three-manifolds
• Toric gravitational instantons in gauged supergravity
• SU(N) q-Toda equations from mass deformed ABJM theory
• Supersymmetry Breaking in a Large N Gauge Theory with Gravity Dual
• Maximally symmetric nuts in 4d $\mathcal{N}=2$ higher derivative supergravity
• The $\mathcal{N}=2$ Prepotential and the Sphere Free Energy
• Solving Mass-deformed Holography Perturbatively
• Fermionic Response in Finite-Density ABJM Theory with Broken Symmetry
• A perturbative study of holographic mABJM theory
• Marginal deformations from type IIA supergravity
• On the U(1)${}^2$-invariant sector of dyonic maximal supergravity
• Holographic Magnetisation Density Waves
• Microscopics of de Sitter Entropy from Precision Holography
• Perturbative solutions of $\mathcal{N}=1^{\ast }$ holography on $S^4$
• 3D ${\tau }_{RR}$-minimization in AdS${}_4$ gauged supergravity
• Topological AdS/CFT and the $\Omega$ deformation
• On-shell action and the Bekenstein-Hawking entropy of supersymmetric black holes in $Ad{S}_6$
• Holographic (Eternal) Inflation
• Flavored ABJM theory on the sphere and holographic F-functions
• Mass deformed ABJM and $\mathcal{P}\mathcal{T}$ symmetry
• BPS Wilson loops in mass-deformed ABJM theory: Fermi gas expansions and new defect CFT data
• A magnetically induced quantum phase transition in holography
• Higher-Derivative Supergravity, AdS${}_4$ Holography, and Black Holes
• Constant maps in equivariant topological strings and geometric modeling of fluxes
• "$1k_F$" Singularities and Finite Density ABJM Theory at Strong Coupling
• Kerr-Newman black holes from $\mathcal{N}=1^{\ast }$
• The Holographic Contributions to the Sphere Free Energy
• Boundary Conditions in Topological AdS${}_4$/CFT${}_3$
• The Hamilton-Jacobi Equation and Holographic Renormalization Group Flows on Sphere
• Exact solutions to complex Type IIB supergravity for complex superalgebra $F(4)$ and its real forms
• Wrapped $M5$-branes and complex saddle points
• On the Search for Multicenter AdS Black Holes from M-theory