Instantons in sine-Liouville theory
Abstract We compute instanton corrections to the partition function of sine-Liouville (SL) theory, which provides a worldsheet description of two-dimensional string theory in a non-trivial tachyon background. We derive these corrections using a matrix model formulation based on a chiral representati...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2024)141 |
| _version_ | 1827265042576310272 |
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| author | Sergei Alexandrov Raghu Mahajan Ashoke Sen |
| author_facet | Sergei Alexandrov Raghu Mahajan Ashoke Sen |
| author_sort | Sergei Alexandrov |
| collection | DOAJ |
| description | Abstract We compute instanton corrections to the partition function of sine-Liouville (SL) theory, which provides a worldsheet description of two-dimensional string theory in a non-trivial tachyon background. We derive these corrections using a matrix model formulation based on a chiral representation of matrix quantum mechanics and using string theory methods. In both cases we restrict to the leading and subleading orders in the string coupling expansion. Then the CFT technique is used to compute two orders of the expansion in the SL perturbation parameter λ, while the matrix model gives results which are non-perturbative in λ. The matrix model results perfectly match those of string theory in the small λ expansion. We also generalize our findings to the case of perturbation by several tachyon vertex operators carrying different momenta, and obtain interesting analytic predictions for the disk two-point and annulus one-point functions with ZZ boundary condition. |
| first_indexed | 2024-03-08T10:16:42Z |
| format | Article |
| id | doaj.art-5b293b4d3a0f48a383a92061d9bcb338 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2025-03-22T03:55:40Z |
| publishDate | 2024-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-5b293b4d3a0f48a383a92061d9bcb3382024-04-28T11:07:33ZengSpringerOpenJournal of High Energy Physics1029-84792024-01-012024117510.1007/JHEP01(2024)141Instantons in sine-Liouville theorySergei Alexandrov0Raghu Mahajan1Ashoke Sen2Laboratoire Charles Coulomb (L2C), Université de Montpellier, CNRSDepartment of Physics, Stanford UniversityInternational Centre for Theoretical Sciences – TIFRAbstract We compute instanton corrections to the partition function of sine-Liouville (SL) theory, which provides a worldsheet description of two-dimensional string theory in a non-trivial tachyon background. We derive these corrections using a matrix model formulation based on a chiral representation of matrix quantum mechanics and using string theory methods. In both cases we restrict to the leading and subleading orders in the string coupling expansion. Then the CFT technique is used to compute two orders of the expansion in the SL perturbation parameter λ, while the matrix model gives results which are non-perturbative in λ. The matrix model results perfectly match those of string theory in the small λ expansion. We also generalize our findings to the case of perturbation by several tachyon vertex operators carrying different momenta, and obtain interesting analytic predictions for the disk two-point and annulus one-point functions with ZZ boundary condition.https://doi.org/10.1007/JHEP01(2024)141Bosonic StringsMatrix Models |
| spellingShingle | Sergei Alexandrov Raghu Mahajan Ashoke Sen Instantons in sine-Liouville theory Journal of High Energy Physics Bosonic Strings Matrix Models |
| title | Instantons in sine-Liouville theory |
| title_full | Instantons in sine-Liouville theory |
| title_fullStr | Instantons in sine-Liouville theory |
| title_full_unstemmed | Instantons in sine-Liouville theory |
| title_short | Instantons in sine-Liouville theory |
| title_sort | instantons in sine liouville theory |
| topic | Bosonic Strings Matrix Models |
| url | https://doi.org/10.1007/JHEP01(2024)141 |
| work_keys_str_mv | AT sergeialexandrov instantonsinsineliouvilletheory AT raghumahajan instantonsinsineliouvilletheory AT ashokesen instantonsinsineliouvilletheory |