Liouville/Toda central charges from M5-branes

  title={Liouville/Toda central charges from M5-branes},
  author={Luis F. Alday and Francesco Benini and Yuji Tachikawa},
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. 

Four-dimensional SCFTs from M5-branes

A bstractWe engineer a large new set of four-dimensional $\mathcal{N} = 1$ superconformal field theories by wrapping M5-branes on complex curves. We present new supersymmetric AdS5 M-theory

Two-dimensional SCFTs from wrapped branes and c-extremization

A bstractWe apply c-extremization [1], whose proof we review in full detail, to study twodimensional $ \mathcal{N} $ = (0, 2) superconformal field theories arising from the low-energy dynamics of

Higher derivative corrections and central charges from wrapped M5-branes

A bstractWe compute four-derivative corrections to the AdS supergravity actions arising from the near-horizon geometry of N M5-branes wrapped on either one or two Riemann surfaces. This setup

The Euler anomaly and scale factors in Liouville/Toda CFTs

A bstractThe role played by the Euler anomaly in the dictionary relating sphere partition functions of four dimensional theories of class $ \mathcal{S} $ and two dimensional non rational CFTs is

Hitchin systems, N = 2 gauge theories and W-gravity

β-Ensembles for Toric Orbifold Partition Function

We investigate combinatorics of the instanton partition function for the generic four dimensional toric orbifolds. It is shown that the orbifold projection can be implemented by taking the

N=2 gauge theories and degenerate fields of Toda theory

We discuss the correspondence between degenerate fields of the W{sub N} algebra and punctures of Gaiotto's description of the Seiberg-Witten curve of N=2 superconformal gauge theories. Namely, we

Gauge Theories on ALE Space and

We present a relation between N = 2 quiver gauge theories on the ALE space OP1(−2) and correlators of N = 1 super Liouville conformal field theory, providing checks in the case of punctured spheres

Wrapped M5-branes and AdS_5 black holes

We use consistent truncations in supergravity to show that the backreaction of N rotating M5-branes wrapped on a Riemann surface leads to asymptotically AdS_5 black hole solutions of 11d

On spectrum of ILW hierarchy in conformal field theory II: coset CFT’s

A bstractWe study integrable structure of the coset conformal field theory and define the system of Integrals of Motion which depends on external parameters. This system can be viewed as a

The gravity duals of N=2 superconformal field theories

We study the gauge/gravity duality for theories with four dimensional ${\cal N}=2$ supersymmetries. We consider the large class of generalized quiver field theories constructed recently by one of us

Super Liouville conformal blocks from N=2 SU(2) quiver gauge theories

The conjecture about the correspondence between instanton partition functions in theN = 2 SUSY Yang-Mills theory and conformal blocks of two-dimensi onal conformal field theories is extended to the

Hitchin systems, N = 2 gauge theories and W-gravity

Liouville Correlation Functions from Four-Dimensional Gauge Theories

We conjecture an expression for the Liouville theory conformal blocks and correlation functions on a Riemann surface of genus g and n punctures as the Nekrasov partition function of a certain class

Non-abelian tensor-multiplet anomalies

We use the anomaly cancellation of the M-theory fivebrane to derive the R-symmetry anomalies of the AN (0,2) tensor-multiplet theories. This result leads to a simple derivation of black hole entropy

A(N-1) conformal Toda field theory correlation functions from conformal N = 2 SU(N) quiver gauge theories

We propose a relation between correlation functions in the 2d A(N-1) conformal Toda theories and the Nekrasov instanton partition functions in certain conformal N = 2 SU(N) 4d quiver gauge theories.