A Precision Test of AdS/CFT with Flavor

Abstract

In this letter we put AdS/CFT dualities involving probe branes to a precision test. On the holographic side we use a new class of supersymmetric D7-brane embeddings into AdS${}_5\times$S${}^5$, which allow to describe N=4 SYM coupled to massive N=2 supersymmetric flavors on S${}^4$. With these embeddings we can compare holographic results to a field theory analysis of the free energy using supersymmetric localization. Localization allows us to get results at strong coupling, and hence to compare in detail to AdS/CFT. We find analytically matching results: a phase transition at the same critical mass in both calculations and matching free energies up to a scheme-dependent constant in both phases.

7 pages, 1 figure

References in corpus (6)

• Metallic AdS/CFT
• Holography for $\mathcal{N}=2^{\ast }$ on $S^4$
• N=2* Super-Yang-Mills Theory at Strong Coupling
• Critical Exponents from AdS/CFT with Flavor
• Supersymmetric D3/D7 for holographic flavors on curved space
• Localization of a supersymmetric gauge theory in the presence of a surface defect

Cited by in corpus (15)

• Holography for $\mathcal{N}=1^{\ast }$ on $S^4$
• Holographic entanglement entropy from probe M-theory branes
• Precision Holography for $\mathcal{N}=2^{\ast }$ on $S^4$ from type IIB Supergravity
• A Computer Test of Holographic Flavour Dynamics
• Exact strong coupling results in $\mathcal{N}$=2 $Sp(2N)$ superconformal gauge theory from localization
• A Computer Test of Holographic Flavour Dynamics II
• Supersymmetric D3/D5 for massive defects on curved space
• Holographic Weyl Anomalies for 4d Defects in 6d SCFTs
• Matrix Models and Holography: Mass Deformations of Long Quiver Theories in 5d and 3d
• 3d defects in 5d: RG flows and defect F-maximization
• Solving Mass-deformed Holography Perturbatively
• Holographic entanglement entropy for massive flavours in dS_4
• Flavored ABJM theory on the sphere and holographic F-functions
• "$1k_F$" Singularities and Finite Density ABJM Theory at Strong Coupling
• The Hamilton-Jacobi Equation and Holographic Renormalization Group Flows on Sphere