3d TQFT from 6d SCFT

Abstract

We study the six-dimensional (2,0) superconformal field theory on S^1 x S^2 x M via compactification to five dimensions, where M is a three-manifold. Twisted along M, the five-dimensional theory has a half of N = (2,2) supersymmetry on S^2, the other half being broken by a superpotential. We show that in the limit where M is infinitely large, the twisted theory reduces to a three-dimensional topological quantum field theory which is closely related to Chern-Simons theory for the complexified gauge group.

25 pages. v2: minor changes, typos corrected. v3. typos corrected, published version

References in corpus (3)

• A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
• The 4d Superconformal Index from q-deformed 2d Yang-Mills
• On AGT relation in the case of U(3)

Cited by in corpus (48)

• Ω-deformation and quantization
• 3d Chern-Simons Theory from M5-branes
• Rotating Black Hole Entropy from M5-branes
• Symmetry enhancement and closing of knots in 3d/3d correspondence
• Supersymmetric Rényi Entropy in Five Dimensions
• Aspects of Defects in 3d-3d Correspondence
• Sequencing BPS Spectra
• A slow review of the AGT correspondence
• Supersymmetric gauge theory, (2,0) theory and twisted 5d Super-Yang-Mills
• Precision Microstate Counting for the Entropy of Wrapped M5-branes
• SymTFTs and Duality Defects from 6d SCFTs on 4-manifolds
• M-theoretic Genesis of Topological Phases
• Colored Kauffman Homology and Super-A-polynomials
• Holography of 3d-3d correspondence at Large N
• 3d-3d Correspondence Revisited
• Toda Theory From Six Dimensions
• Teichmuller TQFT vs Chern-Simons Theory
• Superconformal Index and 3d-3d Correspondence for Mapping Cylinder/Torus
• Large $N$ twisted partition functions in 3d-3d correspondence and Holography
• Quiver gauge theories and integrable lattice models
• 4d Quantum Geometry from 3d Supersymmetric Gauge Theory and Holomorphic Block
• Perturbative and nonperturbative aspects of complex Chern-Simons Theory
• 5d Higgs Branch Localization, Seiberg-Witten Equations and Contact Geometry
• Chern-Simons theory from M5-branes and calibrated M2-branes
• Ω-deformation of B-twisted gauge theories and the 3d-3d correspondence
• Holography of Wrapped M5-branes and Chern-Simons theory
• Rigid Supersymmetry on 5-dimensional Riemannian Manifolds and Contact Geometry
• Supersymmetric backgrounds from 5d N=1 supergravity
• Surface defects as transfer matrices
• Supersymmetric gauge theories on five-manifolds
• A $\mathcal{N}=2$ Supersymmetric $Ad{S}_4$ Solution in M-theory with Purely Magnetic Flux
• Refined 3d-3d Correspondence
• Indices for 6 dimensional superconformal field theories
• 3d $\mathcal{N}=2$ minimal SCFTs from Wrapped M5-branes
• Taming Supersymmetric Defects in 3d-3d Correspondence
• M5-branes on S^2 x M_4: Nahm's Equations and 4d Topological Sigma-models
• 3d Gravity as a random ensemble
• 5d gauge theories on orbifolds and 4d 't Hooft line indices
• A non-unitary bulk-boundary correspondence: Non-unitary Haagerup RCFTs from S-fold SCFTs
• AGT relation in the light asymptotic limit
• 5D SYM on 3D Deformed Spheres
• Integrable 3D lattice model in M-theory
• Equivariant U(N) Verlinde algebra from Bethe/Gauge correspondence
• Five-dimensional cohomological localization and squashed $q$-deformations of two-dimensional Yang-Mills theory
• Four-Dimensional N=2 Supersymmetric Theory with Boundary as a Two-Dimensional Complex Toda Theory
• 3D-3D Correspondence from Seifert Fibering Operators
• Quantum Trilogy: Discrete Toda, Y-System and Chaos
• Wrapped $M5$-branes and complex saddle points