A note on rank (3)/(2) Liouville irregular block

2025/02/14 by Poghossian, Rubik, Poghosyan, Hasmik
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2502.10169

Abstract

This paper focuses on a conformal block with rank (3)/(2) irregular singularity which corresponds to the prepotential of the \cal H₁ Argyres-Douglas theory in Ω background. We derive this irregular conformal block using generalized holomorphic anomaly recursion relation. This results is an expression which is a power series in Ω-background parameters ε_1,2 and exact in coupling. We have verified that in small coupling regime our result is consistent with previously known expressions. Furthermore we derive the Deformed Seiberg-Witten curve which provides an alternative tool to explore above mentioned theory in Nekrasov-Shatashvili limit of Ω-background. We checked that the results are in complete agreement with the holomorphic anomaly approach.

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