A note on rank 5/2 Liouville irregular block, Painlevé I and the H $$ \mathcal{H} $$ 0 Argyres-Douglas theory
Abstract We study 4d type H $$ \mathcal{H} $$ 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 ϵ 1,2. Another cruc...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2023)198 |
| _version_ | 1797199715410903040 |
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| author | Hasmik Poghosyan Rubik Poghossian |
| author_facet | Hasmik Poghosyan Rubik Poghossian |
| author_sort | Hasmik Poghosyan |
| collection | DOAJ |
| description | Abstract We study 4d type H $$ \mathcal{H} $$ 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 ϵ 1,2. 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 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. |
| first_indexed | 2024-03-09T06:02:46Z |
| format | Article |
| id | doaj.art-d959566febe54442966d242ef3637f96 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T07:20:10Z |
| publishDate | 2023-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-d959566febe54442966d242ef3637f962024-04-21T11:05:45ZengSpringerOpenJournal of High Energy Physics1029-84792023-11-0120231112410.1007/JHEP11(2023)198A note on rank 5/2 Liouville irregular block, Painlevé I and the H $$ \mathcal{H} $$ 0 Argyres-Douglas theoryHasmik Poghosyan0Rubik Poghossian1Yerevan Physics InstituteYerevan Physics InstituteAbstract We study 4d type H $$ \mathcal{H} $$ 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 ϵ 1,2. 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 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.https://doi.org/10.1007/JHEP11(2023)198Conformal and W SymmetryIntegrable HierarchiesSupersymmetric Gauge TheorySupersymmetry and Duality |
| spellingShingle | Hasmik Poghosyan Rubik Poghossian A note on rank 5/2 Liouville irregular block, Painlevé I and the H $$ \mathcal{H} $$ 0 Argyres-Douglas theory Journal of High Energy Physics Conformal and W Symmetry Integrable Hierarchies Supersymmetric Gauge Theory Supersymmetry and Duality |
| title | A note on rank 5/2 Liouville irregular block, Painlevé I and the H $$ \mathcal{H} $$ 0 Argyres-Douglas theory |
| title_full | A note on rank 5/2 Liouville irregular block, Painlevé I and the H $$ \mathcal{H} $$ 0 Argyres-Douglas theory |
| title_fullStr | A note on rank 5/2 Liouville irregular block, Painlevé I and the H $$ \mathcal{H} $$ 0 Argyres-Douglas theory |
| title_full_unstemmed | A note on rank 5/2 Liouville irregular block, Painlevé I and the H $$ \mathcal{H} $$ 0 Argyres-Douglas theory |
| title_short | A note on rank 5/2 Liouville irregular block, Painlevé I and the H $$ \mathcal{H} $$ 0 Argyres-Douglas theory |
| title_sort | note on rank 5 2 liouville irregular block painleve i and the h mathcal h 0 argyres douglas theory |
| topic | Conformal and W Symmetry Integrable Hierarchies Supersymmetric Gauge Theory Supersymmetry and Duality |
| url | https://doi.org/10.1007/JHEP11(2023)198 |
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