On resummation of the irregular conformal block

Abstract

We discuss the resummation procedure of the superpotential in 4d $\mathcal{N}=2$ SYM theory without matter from the point of view of 2d Liouville conformal field theory, utilizing the AGT correspondence. We identify contributions of different descendants of the intermediate state, defining a conformal block in CFT, to the superpotential and answer the question, which descendants are responsible for the appearance of the branch cuts in the superpotential.

arXiv comment11 pages

References in corpus (7)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Liouville Correlation Functions from Four-dimensional Gauge Theories
• N=2 dualities
• Five-dimensional AGT Conjecture and the Deformed Virasoro Algebra
• On non-conformal limit of the AGT relations
• Classical irregular block, N=2 pure gauge theory and Mathieu equation
• Bands and gaps in Nekrasov partition function

Cited by in corpus (2)

• A slow review of the AGT correspondence
• Absorption cross section in gravity's rainbow from confluent Heun equation