A note on rank 5/2 Liouville irregular block, Painlevé 1 and the ${\cal H}_0$ Argyres-Douglas theory
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866915364460298240 |
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| author | Poghosyan, Hasmik Poghossian, Rubik |
| author_facet | Poghosyan, Hasmik Poghossian, Rubik |
| contents | We study 4d type ${\cal H}_0$ 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 $ε_{1,2}$. 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 $ε_1=-ε_2$. We also discuss Nekrasov-Shatashvili limit $ε_1=0$, accessible either by means of deformed Seiberg-Witten curve, or WKB methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_09623 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A note on rank 5/2 Liouville irregular block, Painlevé 1 and the ${\cal H}_0$ Argyres-Douglas theory Poghosyan, Hasmik Poghossian, Rubik High Energy Physics - Theory We study 4d type ${\cal H}_0$ 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 $ε_{1,2}$. 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 $ε_1=-ε_2$. We also discuss Nekrasov-Shatashvili limit $ε_1=0$, accessible either by means of deformed Seiberg-Witten curve, or WKB methods. |
| title | A note on rank 5/2 Liouville irregular block, Painlevé 1 and the ${\cal H}_0$ Argyres-Douglas theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2308.09623 |