Matrix Models and Holography: Mass Deformations of Long Quiver Theories in 5d and 3d

Abstract

We enlarge the dictionary between matrix models for long linear quivers preserving eight supercharges in $d=5$ and $d=3$ and type IIB supergravity backgrounds with AdS${}_{d+1}$ factors. We introduce mass deformations of the field theory that break the quiver into a collection of interacting linear quivers, which are decoupled at the end of the RG flow. We find and solve a Laplace problem in supergravity which realises these deformations holographically. The free energy and expectation values of antisymmetric Wilson loops are calculated on both sides of the proposed duality, finding agreement. Our matching procedure sheds light on the F-theorem in five dimensions.

46 pages plus appendices. Various figures. Some improvements and references added. SciPost Physics version

References in corpus (43)

• Exact half-BPS Type IIB interface solutions I: Local solution and supersymmetric Janus
• Les Houches lectures on matrix models and topological strings
• Sphere Partition Functions and the Zamolodchikov Metric
• Holography for (1,0) theories in six dimensions
• AdS_6 solutions of type II supergravity
• Instantons on the 5-sphere and M5-branes
• Trifectas for $T_N$ in 5d
• Probing non-perturbative effects in M-theory
• Holographic Aspects of Four Dimensional $\mathcal{N}=2$ SCFTs and their Marginal Deformations
• Three-dimensional N=4 Linear Quivers and non-Abelian T-duals
• Warped $Ad{S}_6\times S^2$ in Type IIB supergravity III: Global solutions with seven-branes
• M-theoretic matrix models
• Perturbing gauge/gravity duals by a Romans mass
• Entanglement entropy vs. free energy in IIB supergravity duals for 5d SCFTs
• Supersymmetric gauge theories on squashed five-spheres and their gravity duals
• Integrability and Holographic Aspects of Six-Dimensional $\mathcal{N}=(1,0)$ Superconformal Field Theories
• Large $N$ Partition Functions of the ABJM Theory
• The gravity dual of supersymmetric gauge theories on a squashed five-sphere
• Electrostatic Description of Five-dimensional SCFTs
• Large N Free Energy of 3d N=4 SCFTs and AdS/CFT
• Wilson loops in 5d long quiver gauge theories
• ${\text{AdS}}_2\times {\text{S}}^2\times {\text{CY}}_2$ solutions in Type IIB with 8 supersymmetries
• AdS${}_2$ duals to ADHM quivers with Wilson lines
• Localization vs holography in $4d$ $\mathcal{N}=2$ quiver theories
• All $\mathcal{N}=(8,0)$ AdS${}_3$ solutions in 10 and 11 dimensions
• AdS${}_3$ solutions with $\mathcal{N}=(3,0)$ from S${}^3\times$S${}^3$ fibrations
• Sphere correlation functions and Verma modules
• Charges and holography in 6d (1,0) theories
• Electrostatic description of 3d $\mathcal{N}=4$ linear quivers
• N=(0,4) Black String Chains
• Mapping out the internal space in AdS/BCFT with Wilson loops
• AdS${}_6$/CFT${}_5$ with O7-planes
• N = 2* Phase Transitions and Holography
• Evidence for a 5d F-theorem
• Massive flows in AdS${}_6$/CFT${}_5$
• Topologically twisted index of $T[SU(N)]$ at large $N$
• Phases of five-dimensional supersymmetric gauge theories
• Wilson loops for 5d and 3d conformal linear quivers
• Supersymmetric vortex loops in 3D gauge theories
• Fibre-base duality of 5d KK theories
• Generalized quotients and holographic duals for 5d S-fold SCFTs
• The $\mathcal{N}=2$ Prepotential and the Sphere Free Energy
• Comments on non-Abelian T-duals and their holographic description

Cited by in corpus (4)

• Linear Quivers at Large-$N$
• 5d SCFTs and their non-supersymmetric cousins
• Solving $\mathcal{N}=4$ SYM BCFT matrix models at large $N$
• Large $N$ limits of supersymmetric quantum field theories: A pedagogical overview