Sphere correlation functions and Verma modules

Abstract

We propose a universal IR formula for the protected three-sphere correlation functions of Higgs and Coulomb branch operators of $\mathcal{N}=4$ supersymmetric quantum field theories with massive, topologically trivial vacua.

42 pages, 3 figures, v2: typos corrected

References in corpus (45)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• Algebraic structures on parallel M2-branes
• An Index for 4 dimensional Super Conformal Theories
• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
• Fractional M2-branes
• Infinite Chiral Symmetry in Four Dimensions
• Towards the F-Theorem: N=2 Field Theories on the Three-Sphere
• Counting chiral primaries in N=1 d=4 superconformal field theories
• SUSY Gauge Theories on Squashed Three-Spheres
• From weak to strong coupling in ABJM theory
• Janus Configurations, Chern-Simons Couplings, And The Theta-Angle in N=4 Super Yang-Mills Theory
• Entropy of Near-Extremal Black p-branes
• Gauge Theories and Macdonald Polynomials
• N=5,6 Superconformal Chern-Simons Theories and M2-branes on Orbifolds
• The 4d Superconformal Index from q-deformed 2d Yang-Mills
• N=4 Superconformal Chern-Simons Theories with Hyper and Twisted Hyper Multiplets
• Holomorphic Blocks in Three Dimensions
• Towards a mathematical definition of Coulomb branches of $3$-dimensional $\mathcal{N}=4$ gauge theories, II
• Schur Indices, BPS Particles, and Argyres-Douglas Theories
• Factorisation of N = 2 theories on the squashed 3-sphere
• Boundaries, Mirror Symmetry, and Symplectic Duality in 3d $\mathcal{N}=4$ Gauge Theory
• Exact Results for 't Hooft Loops in Gauge Theories on S^4
• Deformation quantization and superconformal symmetry in three dimensions
• Infrared Computations of Defect Schur Indices
• Calculating the partition function of N=2 Gauge theories on $S^3$ and AdS/CFT correspondence
• Ω-deformation and quantization
• From Necklace Quivers to the F-theorem, Operator Counting, and T(U(N))
• Coulomb Branch Operators and Mirror Symmetry in Three Dimensions
• 3D-partition functions on the sphere: exact evaluation and mirror symmetry
• 3d Partition Function as Overlap of Wavefunctions
• Line operators on S^1xR^3 and quantization of the Hitchin moduli space
• Unquenched flavor and tropical geometry in strongly coupled Chern-Simons-matter theories
• Matrix Models for Supersymmetric Chern-Simons Theories with an ADE Classification
• The Large N Limit of Toric Chern-Simons Matter Theories and Their Duals
• Schur correlation functions on $S^3\times S^1$
• Coulomb Branch Quantization and Abelianized Monopole Bubbling
• Quantized Coulomb branches of Jordan quiver gauge theories and cyclotomic rational Cherednik algebras
• Teichmuller TQFT vs Chern-Simons Theory
• Free Energy of D_n Quiver Chern-Simons Theories
• Free Energy vs Sasaki-Einstein Volume for Infinite Families of M2-Brane Theories
• The free energy of N=2 supersymmetric AdS_4 solutions of M-theory
• New 3d $\mathcal{N}=2$ SCFT's with $N^{3/2}$ scaling
• Z Extremization in Chiral-Like Chern Simons Theories

Cited by in corpus (18)

• Non-unitary TQFTs from 3D $\mathcal{N}=4$ rank 0 SCFTs
• Boundaries, Vermas, and Factorisation
• Feynman diagrams and $\Omega$-deformed M-theory
• Topological Correlators and Surface Defects from Equivariant Cohomology
• Blocks and Vortices in the 3d ADHM Quiver Gauge Theory
• Matrix Models and Holography: Mass Deformations of Long Quiver Theories in 5d and 3d
• Twisted eleven-dimensional supergravity
• Localization and Duality for ABJM Latitude Wilson Loops
• Correlators on the wall and ${\mathfrak{sl}}_n$ spin chain
• Twisted holography of defect fusions
• M2-branes and plane partitions
• Nonabelian Mirror Symmetry Beyond the Chiral Ring
• Abelian mirror symmetry of $\mathcal{N}=(2,2)$ boundary conditions
• Algebras, traces, and boundary correlators in $\mathcal{N}=4$ SYM
• Exact large $N$ expansion of $\mathcal{N}=4$ circular quiver Chern-Simons theories and squashing
• Crystal bases and three-dimensional $\mathcal{N}=4$ Coulomb branches
• Fermi-gas correlators of ADHM theory and triality symmetry
• Schur correlation functions from q-deformed Yang-Mills