A note on rank $\frac{3}{2}$ Liouville irregular block
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909559185997824 |
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| author | Poghossian, Rubik Poghosyan, Hasmik |
| author_facet | Poghossian, Rubik Poghosyan, Hasmik |
| contents | This paper focuses on a conformal block with rank $\frac{3}{2}$ irregular singularity which corresponds to the prepotential of the ${\cal H}_1$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_10169 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on rank $\frac{3}{2}$ Liouville irregular block Poghossian, Rubik Poghosyan, Hasmik High Energy Physics - Theory This paper focuses on a conformal block with rank $\frac{3}{2}$ irregular singularity which corresponds to the prepotential of the ${\cal H}_1$ 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. |
| title | A note on rank $\frac{3}{2}$ Liouville irregular block |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2502.10169 |