Classical Virasoro irregular conformal block II

Abstract

We present a new systematic way to evaluate the classical limit of the Virasoro irregular conformal block for arbitrary rank n based on the irregular partition function. In addition, we prove that the classical irregular conformal block has the exponential form as suggested by A. Zamolodchikov and Al. Zamolodchikov for the regular case. We provide an explicit calculation for the rank 2 case in detail.

13 pages; v2: typos corrected, technical details moved to appendices, accepted by JHEP

References in corpus (8)

• Toda Theories, Matrix Models, Topological Strings, and N=2 Gauge Systems
• Asymptotically free N=2 theories and irregular conformal blocks
• Seiberg-Witten Theory and Random Partitions
• On AGT Relations with Surface Operator Insertion and Stationary Limit of Beta-Ensembles
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• Classical Virasoro irregular conformal block
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• Finite ${\epsilon }_2$-corrections to the $\mathcal{N}=2$ SYM prepotential
• Irregular conformal block, spectral curve and flow equations
• Developments of theory of effective prepotential from extended Seiberg-Witten system and matrix models
• Classical irregular blocks, Hill's equation and PT-symmetric periodic complex potentials
• FQHE and $t{t}^{\ast }$ geometry
• Nekrasov and Argyres-Douglas theories in spherical Hecke algebra representation
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• Irregular Conformal States and Spectral Curve: Irregular Matrix Model Approach