Abstract
We study 4d type \( \mathcal{H} \)0 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 ϵ1,2. Another crucial test of our results provides comparison with respect to Painlevé I 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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Acknowledgments
R.P. thanks F. Fucito and J.F.Morales for many useful discussions. His work has been supported by the Armenian SCS grant 21AG-1C062. H.P. acknowledges support in the framework of Armenian SCS grants 21AG-1C060 and 20TTWS1C035.
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Poghosyan, H., Poghossian, R. A note on rank 5/2 Liouville irregular block, Painlevé I and the \( \mathcal{H} \)0 Argyres-Douglas theory. J. High Energ. Phys. 2023, 198 (2023). https://doi.org/10.1007/JHEP11(2023)198
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DOI: https://doi.org/10.1007/JHEP11(2023)198