Open minimal strings and open Gelfand-Dickey hierarchies
Abstract We study the connection between minimal Liouville string theory and generalized open KdV hierarchies. We are interested in generalizing Douglas string equation formalism to the open topology case. We show that combining the results of the closed topology, based on the Frobenius manifold str...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP02(2019)043 |
| _version_ | 1811327877785845760 |
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| author | Konstantin Aleshkin Vladimir Belavin |
| author_facet | Konstantin Aleshkin Vladimir Belavin |
| author_sort | Konstantin Aleshkin |
| collection | DOAJ |
| description | Abstract We study the connection between minimal Liouville string theory and generalized open KdV hierarchies. We are interested in generalizing Douglas string equation formalism to the open topology case. We show that combining the results of the closed topology, based on the Frobenius manifold structure and resonance transformations, with the appropriate open case modification, which requires the insertion of macroscopic loop operators, we reproduce the well-known result for the expectation value of a bulk operator for the FZZT brane coupled to the general (q, p) minimal model. The matching of the results of the two setups gives new evidence of the connection between minimal Liouville gravity and the theory of Topological Gravity. |
| first_indexed | 2024-04-13T15:15:39Z |
| format | Article |
| id | doaj.art-6b515e1dc9a94a1ca2d44cf6595e0b1a |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-13T15:15:39Z |
| publishDate | 2019-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-6b515e1dc9a94a1ca2d44cf6595e0b1a2022-12-22T02:41:53ZengSpringerOpenJournal of High Energy Physics1029-84792019-02-012019212210.1007/JHEP02(2019)043Open minimal strings and open Gelfand-Dickey hierarchiesKonstantin Aleshkin0Vladimir Belavin1L.D. Landau Institute for Theoretical PhysicsI.E. Tamm Department of Theoretical Physics, P.N. Lebedev Physical InstituteAbstract We study the connection between minimal Liouville string theory and generalized open KdV hierarchies. We are interested in generalizing Douglas string equation formalism to the open topology case. We show that combining the results of the closed topology, based on the Frobenius manifold structure and resonance transformations, with the appropriate open case modification, which requires the insertion of macroscopic loop operators, we reproduce the well-known result for the expectation value of a bulk operator for the FZZT brane coupled to the general (q, p) minimal model. The matching of the results of the two setups gives new evidence of the connection between minimal Liouville gravity and the theory of Topological Gravity.http://link.springer.com/article/10.1007/JHEP02(2019)043Conformal Field Models in String TheoryIntegrable HierarchiesMatrix Models |
| spellingShingle | Konstantin Aleshkin Vladimir Belavin Open minimal strings and open Gelfand-Dickey hierarchies Journal of High Energy Physics Conformal Field Models in String Theory Integrable Hierarchies Matrix Models |
| title | Open minimal strings and open Gelfand-Dickey hierarchies |
| title_full | Open minimal strings and open Gelfand-Dickey hierarchies |
| title_fullStr | Open minimal strings and open Gelfand-Dickey hierarchies |
| title_full_unstemmed | Open minimal strings and open Gelfand-Dickey hierarchies |
| title_short | Open minimal strings and open Gelfand-Dickey hierarchies |
| title_sort | open minimal strings and open gelfand dickey hierarchies |
| topic | Conformal Field Models in String Theory Integrable Hierarchies Matrix Models |
| url | http://link.springer.com/article/10.1007/JHEP02(2019)043 |
| work_keys_str_mv | AT konstantinaleshkin openminimalstringsandopengelfanddickeyhierarchies AT vladimirbelavin openminimalstringsandopengelfanddickeyhierarchies |