(de)Tails of Toda CFT

Abstract

The relation between the partition function of N=2 gauge theories in 4d and conformal Toda field theory in 2d is explained for the case where the 4d theory is a linear quiver with "quiver tails". That is when the 4d theory has gauge groups of different rank. We propose an identification of a subset of the states of Toda CFT which represent the Coulomb-branch parameters of the different rank gauge multiplets and study their three-point functions and descendants.

28 pages, 4 figures; v2: Added analysis of the Seiberg-Witten curve and some minor changes

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Cited by in corpus (10)

• Wild Quiver Gauge Theories
• Instanton counting with a surface operator and the chain-saw quiver
• 3d Partition Function as Overlap of Wavefunctions
• A slow review of the AGT correspondence
• On W-algebras and the symmetries of defects of 6d N=(2,0) theory
• W(1+infinity) algebra as a symmetry behind AGT relation
• Holomorphic field realization of SH${}^c$ and quantum geometry of quiver gauge theories
• Virasoro constraint for Nekrasov instanton partition function
• Notes on 3-point functions of A_{N-1} Toda theory and AGT-W relation for SU(N) quiver
• The Euler anomaly and scale factors in Liouville/Toda CFTs