Riemann-Hilbert correspondence and blown up surface defects
Abstract The relationship of two dimensional quantum field theory and isomonodromic deformations of Fuchsian systems has a long history. Recently four-dimensional N = 2 gauge theories joined the party in a multitude of roles. In this paper we study the vacuum expectation values of intersecting half-...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2020)006 |
| _version_ | 1797659827820822528 |
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| author | Saebyeok Jeong Nikita Nekrasov |
| author_facet | Saebyeok Jeong Nikita Nekrasov |
| author_sort | Saebyeok Jeong |
| collection | DOAJ |
| description | Abstract The relationship of two dimensional quantum field theory and isomonodromic deformations of Fuchsian systems has a long history. Recently four-dimensional N = 2 gauge theories joined the party in a multitude of roles. In this paper we study the vacuum expectation values of intersecting half-BPS surface defects in SU(2) theory with N f = 4 fundamental hypermultiplets. We show they form a horizontal section of a Fuchsian system on a sphere with 5 regular singularities, calculate the monodromy, and define the associated isomonodromic tau-function. Using the blowup formula in the presence of half-BPS surface defects, initiated in the companion paper, we obtain the GIL formula, establishing an unexpected relation of the topological string/free fermion regime of supersymmetric gauge theory to classical integrability. |
| first_indexed | 2024-03-11T18:20:52Z |
| format | Article |
| id | doaj.art-2bb462a6e3064b5c8a0ae32289e586a7 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T18:20:52Z |
| publishDate | 2020-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-2bb462a6e3064b5c8a0ae32289e586a72023-10-15T11:04:38ZengSpringerOpenJournal of High Energy Physics1029-84792020-12-0120201218310.1007/JHEP12(2020)006Riemann-Hilbert correspondence and blown up surface defectsSaebyeok Jeong0Nikita Nekrasov1New High Energy Theory Center, Rutgers UniversitySimons Center for Geometry and Physics, Stony Brook University, C.N. Yang Institute for Theoretical Physics, Stony Brook UniversityAbstract The relationship of two dimensional quantum field theory and isomonodromic deformations of Fuchsian systems has a long history. Recently four-dimensional N = 2 gauge theories joined the party in a multitude of roles. In this paper we study the vacuum expectation values of intersecting half-BPS surface defects in SU(2) theory with N f = 4 fundamental hypermultiplets. We show they form a horizontal section of a Fuchsian system on a sphere with 5 regular singularities, calculate the monodromy, and define the associated isomonodromic tau-function. Using the blowup formula in the presence of half-BPS surface defects, initiated in the companion paper, we obtain the GIL formula, establishing an unexpected relation of the topological string/free fermion regime of supersymmetric gauge theory to classical integrability.https://doi.org/10.1007/JHEP12(2020)006Differential and Algebraic GeometryIntegrable Field TheoriesSupersymmetric Gauge TheorySupersymmetry and Duality |
| spellingShingle | Saebyeok Jeong Nikita Nekrasov Riemann-Hilbert correspondence and blown up surface defects Journal of High Energy Physics Differential and Algebraic Geometry Integrable Field Theories Supersymmetric Gauge Theory Supersymmetry and Duality |
| title | Riemann-Hilbert correspondence and blown up surface defects |
| title_full | Riemann-Hilbert correspondence and blown up surface defects |
| title_fullStr | Riemann-Hilbert correspondence and blown up surface defects |
| title_full_unstemmed | Riemann-Hilbert correspondence and blown up surface defects |
| title_short | Riemann-Hilbert correspondence and blown up surface defects |
| title_sort | riemann hilbert correspondence and blown up surface defects |
| topic | Differential and Algebraic Geometry Integrable Field Theories Supersymmetric Gauge Theory Supersymmetry and Duality |
| url | https://doi.org/10.1007/JHEP12(2020)006 |
| work_keys_str_mv | AT saebyeokjeong riemannhilbertcorrespondenceandblownupsurfacedefects AT nikitanekrasov riemannhilbertcorrespondenceandblownupsurfacedefects |