Liouville/Toda central charges from M5-branes

Abstract

We show that the central charge of the Liouville and ADE Toda theories can be reproduced by equivariantly integrating the anomaly eight-form of the corresponding six-dimensional N=(0,2) theories, which describe the low-energy dynamics of M5-branes.

9 pages

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Cited by in corpus (54)

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• 4d Index to 3d Index and 2d TQFT
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• Proving AGT conjecture as HS duality: extension to five dimensions
• On AGT Relations with Surface Operator Insertion and Stationary Limit of Beta-Ensembles
• Non-Lagrangian Theories from Brane Junctions
• A direct proof of AGT conjecture at beta = 1
• Gauge Theories on ALE Space and Super Liouville Correlation Functions
• Universal RG Flows Across Dimensions and Holography
• Topologically twisted indices in five dimensions and holography
• Instantons on ALE spaces and Super Liouville Conformal Field Theories
• On AGT Conjecture for Pure Super Yang-Mills and W-algebra
• 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 Exceptional Instanton Strings
• On "Dotsenko-Fateev" representation of the toric conformal blocks
• Anomalies, Black strings and the charged Cardy formula
• Higher Derivative Corrections and Central Charges from Wrapped M5-branes
• Anomaly Inflow for M5-branes on Punctured Riemann Surfaces
• A slow review of the AGT correspondence
• SymTFTs and Duality Defects from 6d SCFTs on 4-manifolds
• N=2 gauge theories on toric singularities, blow-up formulae and W-algebrae
• Exact results for $\mathcal{N}=2$ supersymmetric gauge theories on compact toric manifolds and equivariant Donaldson invariants
• 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
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• Classical conformal blocks from TBA for the elliptic Calogero-Moser system
• Generalized matrix models and AGT correspondence at all genera
• On W-algebras and the symmetries of defects of 6d N=(2,0) 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
• Seiberg-Witten curve via generalized matrix model
• Theories of Class F and Anomalies
• Structure of Anomalies of 4d SCFTs from M5-branes, and Anomaly Inflow
• Higher-derivative corrections to flavoured BPS black hole thermodynamics and holography
• On the six-dimensional origin of the AGT correspondence
• Bootstrapping string dynamics in the 6d $\mathcal{N}=(2,0)$ theories
• Triality in SU(2) Seiberg-Witten theory and Gauss hypergeometric function
• Wrapped Branes and Punctured Horizons
• Holographic Thermal Helicity
• The gravity duals of SO/USp superconformal quivers
• Anomaly Matching Across Dimensions and Supersymmetric Cardy Formulae
• Comments on chiral algebras and $\Omega$-deformations
• Hopf-Wess-Zumino term in the effective action of the 6d, (2, 0) field theory revisted
• Generalized Toda Theory from Six Dimensions and the Conifold
• The Euler anomaly and scale factors in Liouville/Toda CFTs
• Wrapped M5-branes and AdS${}_5$ Black Holes
• New Dualities and Misleading Anomaly Matchings from Outer-automorphism Twists