A note on rank 5/2 Liouville irregular block, Painlevé 1 and the \cal H₀ Argyres-Douglas theory

2023/08/18 by Poghosyan, Hasmik, Poghossian, Rubik
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2308.09623

Abstract

We study 4d type \cal H₀ Argyres-Douglas theory in Ω-background by constructing Liouville irregular state of rank 5/2. The results are compared with generalized Holomorphic anomaly approach, which provides order by order expansion in Ω-background parameters ε_1,2. Another crucial test of our results provides comparison with respect to Painlevé 1 τ-function, which was expected to be hold in self-dual case ε₁=-ε₂. We also discuss Nekrasov-Shatashvili limit ε₁=0, accessible either by means of deformed Seiberg-Witten curve, or WKB methods.

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