A heterotic Kähler gravity and the distance conjecture
Abstract Deformations of the heterotic superpotential give rise to a topological holomorphic theory with similarities to both Kodaira-Spencer gravity and holomorphic Chern-Simons theory. Although the action is cubic, it is only quadratic in the complex structure deformations (the Beltrami differenti...
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| Format: | Article |
| Language: | English |
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2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)168 |
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| author | Javier José Murgas Ibarra Paul-Konstantin Oehlmann Fabian Ruehle Eirik Eik Svanes |
| author_facet | Javier José Murgas Ibarra Paul-Konstantin Oehlmann Fabian Ruehle Eirik Eik Svanes |
| author_sort | Javier José Murgas Ibarra |
| collection | DOAJ |
| description | Abstract Deformations of the heterotic superpotential give rise to a topological holomorphic theory with similarities to both Kodaira-Spencer gravity and holomorphic Chern-Simons theory. Although the action is cubic, it is only quadratic in the complex structure deformations (the Beltrami differential). Treated separately, for large fluxes, or alternatively at large distances in the background complex structure moduli space, these fields can be integrated out to obtain a new field theory in the remaining fields, which describe the complexified hermitian and gauge degrees of freedom. We investigate properties of this new holomorphic theory, and in particular connections to the swampland distance conjecture in the context of heterotic string theory. In the process, we define a new type of symplectic cohomology theory, where the background complex structure Beltrami differential plays the role of the symplectic form. |
| format | Article |
| id | doaj-art-4428cda2ba674de2ada7667dab5895a0 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-4428cda2ba674de2ada7667dab5895a02025-02-09T12:07:22ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025114010.1007/JHEP01(2025)168A heterotic Kähler gravity and the distance conjectureJavier José Murgas Ibarra0Paul-Konstantin Oehlmann1Fabian Ruehle2Eirik Eik Svanes3Department of Mathematics and Physics, Faculty of Science and Technology, University of StavangerDepartment of Physics, Northeastern UniversityDepartment of Physics, Northeastern UniversityDepartment of Mathematics and Physics, Faculty of Science and Technology, University of StavangerAbstract Deformations of the heterotic superpotential give rise to a topological holomorphic theory with similarities to both Kodaira-Spencer gravity and holomorphic Chern-Simons theory. Although the action is cubic, it is only quadratic in the complex structure deformations (the Beltrami differential). Treated separately, for large fluxes, or alternatively at large distances in the background complex structure moduli space, these fields can be integrated out to obtain a new field theory in the remaining fields, which describe the complexified hermitian and gauge degrees of freedom. We investigate properties of this new holomorphic theory, and in particular connections to the swampland distance conjecture in the context of heterotic string theory. In the process, we define a new type of symplectic cohomology theory, where the background complex structure Beltrami differential plays the role of the symplectic form.https://doi.org/10.1007/JHEP01(2025)168Superstring VacuaSuperstrings and Heterotic StringsTopological Field Theories |
| spellingShingle | Javier José Murgas Ibarra Paul-Konstantin Oehlmann Fabian Ruehle Eirik Eik Svanes A heterotic Kähler gravity and the distance conjecture Journal of High Energy Physics Superstring Vacua Superstrings and Heterotic Strings Topological Field Theories |
| title | A heterotic Kähler gravity and the distance conjecture |
| title_full | A heterotic Kähler gravity and the distance conjecture |
| title_fullStr | A heterotic Kähler gravity and the distance conjecture |
| title_full_unstemmed | A heterotic Kähler gravity and the distance conjecture |
| title_short | A heterotic Kähler gravity and the distance conjecture |
| title_sort | heterotic kahler gravity and the distance conjecture |
| topic | Superstring Vacua Superstrings and Heterotic Strings Topological Field Theories |
| url | https://doi.org/10.1007/JHEP01(2025)168 |
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