Open-closed string field theory in the large N limit
Abstract We use the new nilpotent formulation of open-closed string field theory to explore the limit where the number N of identical D-branes of the starting background is large. By reformulating the theory in terms of the ’t Hooft coupling λ := κN, where κ is the string coupling constant, we expli...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2023)119 |
| _version_ | 1797371192353488896 |
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| author | Carlo Maccaferri Alberto Ruffino Jakub Vošmera |
| author_facet | Carlo Maccaferri Alberto Ruffino Jakub Vošmera |
| author_sort | Carlo Maccaferri |
| collection | DOAJ |
| description | Abstract We use the new nilpotent formulation of open-closed string field theory to explore the limit where the number N of identical D-branes of the starting background is large. By reformulating the theory in terms of the ’t Hooft coupling λ := κN, where κ is the string coupling constant, we explicitly see that at large N only genus zero vertices with arbitrary number of boundaries survive. After discussing the homotopy structure of the obtained large N open-closed theory we discuss the possibility of integrating out the open string sector with a quantum but planar homotopy transfer. As a result we end up with a classical closed string field theory, described by a weak L ∞ -algebra containing a tree-level tadpole which, to first order in λ, is given by the initial boundary state. We discuss the possibility of removing the tadpole with a closed string vacuum shift solution, to end up with a new classical closed string background, where the initial D-branes have been turned into pure closed-string backreaction. |
| first_indexed | 2024-03-08T18:16:19Z |
| format | Article |
| id | doaj.art-202696d027684d39ab2bf4d842db0ec5 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T18:16:19Z |
| publishDate | 2023-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-202696d027684d39ab2bf4d842db0ec52023-12-31T12:08:25ZengSpringerOpenJournal of High Energy Physics1029-84792023-09-012023912810.1007/JHEP09(2023)119Open-closed string field theory in the large N limitCarlo Maccaferri0Alberto Ruffino1Jakub Vošmera2Dipartimento di Fisica, Università di Torino, and INFN, Sezione di TorinoDipartimento di Fisica, Università di Torino, and INFN, Sezione di TorinoInstitut für Theoretische Physik, ETH ZürichAbstract We use the new nilpotent formulation of open-closed string field theory to explore the limit where the number N of identical D-branes of the starting background is large. By reformulating the theory in terms of the ’t Hooft coupling λ := κN, where κ is the string coupling constant, we explicitly see that at large N only genus zero vertices with arbitrary number of boundaries survive. After discussing the homotopy structure of the obtained large N open-closed theory we discuss the possibility of integrating out the open string sector with a quantum but planar homotopy transfer. As a result we end up with a classical closed string field theory, described by a weak L ∞ -algebra containing a tree-level tadpole which, to first order in λ, is given by the initial boundary state. We discuss the possibility of removing the tadpole with a closed string vacuum shift solution, to end up with a new classical closed string background, where the initial D-branes have been turned into pure closed-string backreaction.https://doi.org/10.1007/JHEP09(2023)119String Field TheoryD-Branes1/N Expansion |
| spellingShingle | Carlo Maccaferri Alberto Ruffino Jakub Vošmera Open-closed string field theory in the large N limit Journal of High Energy Physics String Field Theory D-Branes 1/N Expansion |
| title | Open-closed string field theory in the large N limit |
| title_full | Open-closed string field theory in the large N limit |
| title_fullStr | Open-closed string field theory in the large N limit |
| title_full_unstemmed | Open-closed string field theory in the large N limit |
| title_short | Open-closed string field theory in the large N limit |
| title_sort | open closed string field theory in the large n limit |
| topic | String Field Theory D-Branes 1/N Expansion |
| url | https://doi.org/10.1007/JHEP09(2023)119 |
| work_keys_str_mv | AT carlomaccaferri openclosedstringfieldtheoryinthelargenlimit AT albertoruffino openclosedstringfieldtheoryinthelargenlimit AT jakubvosmera openclosedstringfieldtheoryinthelargenlimit |