D-instanton, threshold corrections, and topological string
Abstract In this note, we prove that the one-loop pfaffian of the non-perturbative superpotential generated by Euclidean D-branes in type II compactifications on orientifolds of Calabi-Yau threefolds is determined by the moduli integral of the new supersymmetric...
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| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2023
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| Online Access: | https://hdl.handle.net/1721.1/150727 |
| _version_ | 1826190181811617792 |
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| author | Kim, Manki |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Kim, Manki |
| author_sort | Kim, Manki |
| collection | MIT |
| description | Abstract
In this note, we prove that the one-loop pfaffian of the non-perturbative superpotential generated by Euclidean D-branes in type II compactifications on orientifolds of Calabi-Yau threefolds is determined by the moduli integral of the new supersymmetric index defined by Cecotti, Fendley, Intriligator, and Vafa. As this quantity can be computed via topological string theory, Chern-Simons theory, matrix models, or by solving the holomorphic anomaly equation, this result provides a method to directly compute the one-loop pfaffian of the non-perturbative superpotential. The relation between the one-loop pfaffian, threshold corrections to the gauge coupling, and the one-loop partition function of open topological string theory is discussed. |
| first_indexed | 2024-09-23T08:36:20Z |
| format | Article |
| id | mit-1721.1/150727 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T08:36:20Z |
| publishDate | 2023 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1507272024-01-10T17:56:04Z D-instanton, threshold corrections, and topological string Kim, Manki Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. Center for Theoretical Physics Abstract In this note, we prove that the one-loop pfaffian of the non-perturbative superpotential generated by Euclidean D-branes in type II compactifications on orientifolds of Calabi-Yau threefolds is determined by the moduli integral of the new supersymmetric index defined by Cecotti, Fendley, Intriligator, and Vafa. As this quantity can be computed via topological string theory, Chern-Simons theory, matrix models, or by solving the holomorphic anomaly equation, this result provides a method to directly compute the one-loop pfaffian of the non-perturbative superpotential. The relation between the one-loop pfaffian, threshold corrections to the gauge coupling, and the one-loop partition function of open topological string theory is discussed. 2023-05-16T11:59:28Z 2023-05-16T11:59:28Z 2023-05-12 2023-05-14T03:11:57Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/150727 Journal of High Energy Physics. 2023 May 12;2023(5):97 PUBLISHER_CC en https://doi.org/10.1007/JHEP05(2023)097 Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Kim, Manki D-instanton, threshold corrections, and topological string |
| title | D-instanton, threshold corrections, and topological string |
| title_full | D-instanton, threshold corrections, and topological string |
| title_fullStr | D-instanton, threshold corrections, and topological string |
| title_full_unstemmed | D-instanton, threshold corrections, and topological string |
| title_short | D-instanton, threshold corrections, and topological string |
| title_sort | d instanton threshold corrections and topological string |
| url | https://hdl.handle.net/1721.1/150727 |
| work_keys_str_mv | AT kimmanki dinstantonthresholdcorrectionsandtopologicalstring |