Para-Liouville/Toda central charges from M5-branes

Abstract

We propose that N M5-branes, put on R^4/Z_m with deformation parameters epsilon_{1,2}, realize two-dimensional theory with SU(m)_N symmetry and m-th para-W_N symmetry. This includes the standard W_N symmetry for m=1 and super-Viraroro symmetry for m=N=2. We provide a small check of this proposal by calculating the central charge of the 2d theory from the anomaly polynomial of the 6d theory.

5 pages

References in corpus (7)

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Cited by in corpus (79)

• Partition functions of N=(2,2) gauge theories on S^2 and vortices
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• Two-dimensional SCFTs from wrapped branes and c-extremization
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• 4d Index to 3d Index and 2d TQFT
• Proving AGT conjecture as HS duality: extension to five dimensions
• On AGT Relations with Surface Operator Insertion and Stationary Limit of Beta-Ensembles
• A direct proof of AGT conjecture at beta = 1
• Matrix model version of AGT conjecture and generalized Selberg integrals
• Instantons on the 5-sphere and M5-branes
• Gauge Theories on ALE Space and Super Liouville Correlation Functions
• Instanton moduli spaces and bases in coset conformal field theory
• Webs of W-algebras
• Instantons and 2d Superconformal field theory
• Matrix Models for Random Partitions
• $(q,t)$-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces
• Towards a proof of AGT conjecture by methods of matrix models
• A review of the T_N theory and its cousins
• M5-brane Sources, Holography, and Argyres-Douglas Theories
• Brezin-Gross-Witten model as "pure gauge" limit of Selberg integrals
• On "Dotsenko-Fateev" representation of the toric conformal blocks
• Bases in coset conformal field theory from AGT correspondence and Macdonald polynomials at the roots of unity
• The Liouville side of the Vortex
• Gauge Theory Wilson Loops and Conformal Toda Field Theory
• M-theory in the Omega-background and 5-dimensional non-commutative gauge theory
• A slow review of the AGT correspondence
• Whittaker pairs for the Virasoro algebra and the Gaiotto - BMT states
• Orbifolds and Exact Solutions of Strongly-Coupled Matrix Models
• On S-duality of the Superconformal Index on Lens Spaces and 2d TQFT
• Parafermionic Liouville field theory and instantons on ALE spaces
• Coset conformal blocks and N=2 gauge theories
• Quarter-BPS AdS5 solutions in M-theory with a T2 bundle over a Riemann surface
• Proving the equivalence of $c$-extremization and its gravitational dual for all toric quivers
• Hitchin Equation, Irregular Singularity, and $N=2$ Asymptotical Free Theories
• Toda Theory From Six Dimensions
• Classical conformal blocks from TBA for the elliptic Calogero-Moser system
• $q$-Virasoro/W Algebra at Root of Unity and Parafermions
• Matrix model from N = 2 orbifold partition function
• On W-algebras and the symmetries of defects of 6d N=(2,0) theory
• Perturbative and nonperturbative aspects of complex Chern-Simons Theory
• Compactification on the Ω-background and the AGT correspondence
• 1/4 BPS String Junctions and $N^3$ Problem in 6-dim (2,0) Superconformal Theories
• Theories of Class F and Anomalies
• New quantum toroidal algebras from 5D $\mathcal{N}=1$ instantons on orbifolds
• 2D CFT blocks for the 4D class ${\mathcal{S}}_k$ theories
• N=2 quiver gauge theories on A-type ALE spaces
• Quantum Cohomology and Quantum Hydrodynamics from Supersymmetric Quiver Gauge Theories
• On the six-dimensional origin of the AGT correspondence
• Instanton Counting, Quantum Geometry and Algebra
• Holographic Entanglement for Chern-Simons Terms
• Anyonic Defect Branes and Conformal Blocks in Twisted Equivariant Differential (TED) K-theory
• q-Vertex Operator from 5D Nekrasov Function
• N=2 gauge theories, instanton moduli spaces and geometric representation theory
• Super-Liouville - Double Liouville correspondence
• Liouville's Imaginary Shadow
• Developments of theory of effective prepotential from extended Seiberg-Witten system and matrix models
• Beta-ensembles for toric orbifold partition function
• Generalized Rogers Ramanujan Identities from AGT Correspondence
• $\mathcal{N}=2$ supersymmetric gauge theories on $S^2\times S^2$ and Liouville Gravity
• The integral representation of solutions of KZ equation and a modification by $\mathcal{K}$ operator insertion
• Superloop Space
• Double Quiver Gauge Theory and BPS/CFT Correspondence
• Comments on fusion matrix in N=1 super Liouville field theory
• $\widehat{\mathfrak{sl}}(n{)}_N$ WZW conformal blocks from $SU(N)$ instanton partition functions on ${\mathbb{C}}^2/{\mathbb{Z}}_n$
• Comments on chiral algebras and $\Omega$-deformations
• Irregular Singularities in the H3+ WZW Model
• Spinless basis for spin-singlet FQH states
• Framed sheaves on root stacks and supersymmetric gauge theories on ALE spaces
• A strange relationship between 2d CFT and 4d gauge theory
• Hopf-Wess-Zumino term in the effective action of the 6d, (2, 0) field theory revisted
• Quantum deformation of Feigin-Semikhatov's W-algebras and 5d AGT correspondence with a simple surface operator
• The Euler anomaly and scale factors in Liouville/Toda CFTs
• Orbifold Vortex and Super Liouville Theory
• Virasoro Constraint for Uglov Matrix Model
• Elliptic algebra, Frenkel-Kac construction and root of unity limit
• The Grassmannian VOA
• Coloured refined topological vertices and parafermion conformal field theories
• Non-rational su(2) cosets and Liouville field theory
• Direct Sum Structure of the Super Virasoro Algebra and a Fermion Algebra Arising from the Quantum Toroidal ${\mathfrak{gl}}_2$