3d defects in 5d: RG flows and defect F-maximization

Abstract

We use a combination of AdS/CFT and supersymmetric localization to study codimension-2 defects in 5d SCFTs and their gauge theory deformations. The 5d SCFTs are engineered by $(p,q)$ 5-brane webs, with defects realized by D3-branes ending on the 5-brane webs. We obtain the defect free energies and find that gauge theory descriptions of the combined 5d/3d systems can be connected to the UV defect SCFTs through a form of F-maximization which extremizes over different gauge theory defects. This leads to a match between the defect free energies obtained from supersymmetric localization in the gauge theories on the one hand and string theory results on the other. We extend this match to defect RG flows.

arXiv comment40 pages, 10 figures; v2: references added, published version

References in corpus (73)

• Mirror Symmetry is T-Duality
• On Renormalization Group Flows in Four Dimensions
• Towards the F-Theorem: N=2 Field Theories on the Three-Sphere
• The Exact Superconformal R-Symmetry Extremizes Z
• Webs of (p,q) 5-branes, Five Dimensional Field Theories and Grid Diagrams
• On the RG running of the entanglement entropy of a circle
• Notes on SUSY Gauge Theories on Three-Sphere
• Five-Dimensional Supersymmetric Gauge Theories and Degenerations of Calabi-Yau Spaces
• Branes, Superpotentials and Superconformal Fixed Points
• Vortex Counting and Lagrangian 3-manifolds
• Webs of five-branes and N=2 superconformal field theories
• A refinement of entanglement entropy and the number of degrees of freedom
• On the Boundary Entropy of One-dimensional Quantum Systems at Low Temperature
• Contact Terms, Unitarity, and F-Maximization in Three-Dimensional Superconformal Theories
• F-Theorem without Supersymmetry
• The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere
• Comments on twisted indices in 3d supersymmetric gauge theories
• Supersymmetric Gauge Theories on the Five-Sphere
• A Constraint on Defect and Boundary Renormalization Group Flows
• Supersymmetric AdS_6 via T-duality
• Twisted supersymmetric 5D Yang-Mills theory and contact geometry
• The g-theorem and quantum information theory
• Warped $Ad{S}_6\times S^2$ in Type IIB supergravity I: Local solutions
• Anomalies, Renormalization Group Flows, and the a-Theorem in Six-Dimensional (1,0) Theories
• Warped $Ad{S}_6\times S^2$ in Type IIB supergravity II: Global solutions and five-brane webs
• Fibers add Flavor, Part I: Classification of 5d SCFTs, Flavor Symmetries and BPS States
• Holographic duals for five-dimensional superconformal quantum field theories
• $N^3$-behavior from 5D Yang-Mills theory
• Towards a $C$-theorem in defect CFT
• Supersymmetric partition functions and the three-dimensional A-twist
• Three dimensional canonical singularity and five dimensional N=1 SCFT
• Five-dimensional SCFTs and gauge theory phases: an M-theory/type IIA perspective
• Fibers add Flavor, Part II: 5d SCFTs, Gauge Theories, and Dualities
• Hints of 5d Fixed Point Theories from Non-Abelian T-duality
• Trifectas for $T_N$ in 5d
• Cohomological localization of Chern-Simons theory
• Non-perturbative Defect One-Point Functions in Planar $\mathcal{N}=4$ Super-Yang-Mills
• Warped $Ad{S}_6\times S^2$ in Type IIB supergravity III: Global solutions with seven-branes
• Exact results for 5d SCFTs of long quiver type
• Spheres, Charges, Instantons, and Bootstrap: A Five-Dimensional Odyssey
• Precision test of AdS${}_6$/CFT${}_5$ in Type IIB
• Testing $Ad{S}_6/CF{T}_5$ in Type IIB with stringy operators
• Localization on three-dimensional manifolds
• Flipping the head of T[SU(N)]: mirror symmetry, spectral duality and monopoles
• Mass-deformed $T_N$ as a linear quiver
• 3d N=2 mirror symmetry, pq-webs and monopole superpotentials
• Gauged Six-Dimensional Supergravity from Warped IIB Reductions
• $Ad{S}_6$ T-duals and Type IIB $Ad{S}_6\times S^2$ Geometries with 7-Branes
• Wilson loops in 5d long quiver gauge theories
• Gauging Discrete Symmetries of $T_N$-theories in Five Dimensions
• 5d Field Theories and M Theory
• Exploring 5d BPS Spectra with Exponential Networks
• Surface defects in holographic 5d SCFTs
• Surface operators, chiral rings, and localization in N=2 gauge theories
• A Precision Test of AdS/CFT with Flavor
• Supersymmetric D3/D5 for massive defects on curved space
• AdS${}_6$/CFT${}_5$ with O7-planes
• 3d Mirror Symmetry from S-duality
• Evidence for a 5d F-theorem
• Massive flows in AdS${}_6$/CFT${}_5$
• Quantum phase transition in many-flavor supersymmetric QED${}_3$
• M-theory curves from warped AdS${}_6$ in Type IIB
• Phases of five-dimensional supersymmetric gauge theories
• Janus on the Brane
• Wilson loops for 5d and 3d conformal linear quivers
• Bootstrapping the $S^5$ partition function
• Partition Functions and Fibering Operators on the Coulomb Branch of 5d SCFTs
• Supersymmetric probes in warped $Ad{S}_6$
• Generalized quotients and holographic duals for 5d S-fold SCFTs
• S-foldings of 5d SCFTs
• Five-dimensional cohomological localization and squashed $q$-deformations of two-dimensional Yang-Mills theory
• 3d $\mathcal{N}=2$ Brane Webs and Quiver Matrices
• On ${\mathrm{SQED}}_3$ and ${\mathrm{SQCD}}_3$: phase transitions and integrability

Cited by in corpus (5)

• Holographic Weyl Anomalies for 4d Defects in 6d SCFTs
• Linear Quivers at Large-$N$
• Line and surface defects in 5D N=2 SCFT from matter-coupled F(4) gauged supergravity
• Twisted compactifications and conformal defects from ISO(3)xU(1) F(4) gauged supergravity
• Large $N$ limits of supersymmetric quantum field theories: A pedagogical overview