The decoupling of moduli about the standard embedding
Abstract We study the cohomology of an elliptic differential complex arising from the infinitesimal moduli of heterotic string theory in the supergravity approximation. We compute these cohomology groups at the standard embedding, and show that they decompose into a direct sum of cohomologies. While...
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| Format: | Article |
| Language: | English |
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SpringerOpen
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)032 |
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| _version_ | 1832595036001271808 |
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| author | Beatrice Chisamanga Jock McOrist Sebastien Picard Eirik Eik Svanes |
| author_facet | Beatrice Chisamanga Jock McOrist Sebastien Picard Eirik Eik Svanes |
| author_sort | Beatrice Chisamanga |
| collection | DOAJ |
| description | Abstract We study the cohomology of an elliptic differential complex arising from the infinitesimal moduli of heterotic string theory in the supergravity approximation. We compute these cohomology groups at the standard embedding, and show that they decompose into a direct sum of cohomologies. While this is often assumed in the literature, it had not been explicitly demonstrated. Given a stable gauge bundle over a complex threefold with trivial canonical bundle and no holomorphic vector fields, we also show that the Euler characteristic of this differential complex is zero. This points towards a perfect obstruction theory for the heterotic moduli problem, at least for the most physically relevant compactifications. |
| format | Article |
| id | doaj-art-3b89933b51014e71a79b51cea212cc61 |
| 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-3b89933b51014e71a79b51cea212cc612025-01-19T12:07:28ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025111810.1007/JHEP01(2025)032The decoupling of moduli about the standard embeddingBeatrice Chisamanga0Jock McOrist1Sebastien Picard2Eirik Eik Svanes3Department of Mathematics and Physics, Faculty of Science and Technology, University of StavangerDepartment of Mathematics, School of Science and Technology, University of New EnglandDepartment of Mathematics, University of British ColumbiaDepartment of Mathematics and Physics, Faculty of Science and Technology, University of StavangerAbstract We study the cohomology of an elliptic differential complex arising from the infinitesimal moduli of heterotic string theory in the supergravity approximation. We compute these cohomology groups at the standard embedding, and show that they decompose into a direct sum of cohomologies. While this is often assumed in the literature, it had not been explicitly demonstrated. Given a stable gauge bundle over a complex threefold with trivial canonical bundle and no holomorphic vector fields, we also show that the Euler characteristic of this differential complex is zero. This points towards a perfect obstruction theory for the heterotic moduli problem, at least for the most physically relevant compactifications.https://doi.org/10.1007/JHEP01(2025)032Flux CompactificationsSuperstring VacuaSuperstrings and Heterotic Strings |
| spellingShingle | Beatrice Chisamanga Jock McOrist Sebastien Picard Eirik Eik Svanes The decoupling of moduli about the standard embedding Journal of High Energy Physics Flux Compactifications Superstring Vacua Superstrings and Heterotic Strings |
| title | The decoupling of moduli about the standard embedding |
| title_full | The decoupling of moduli about the standard embedding |
| title_fullStr | The decoupling of moduli about the standard embedding |
| title_full_unstemmed | The decoupling of moduli about the standard embedding |
| title_short | The decoupling of moduli about the standard embedding |
| title_sort | decoupling of moduli about the standard embedding |
| topic | Flux Compactifications Superstring Vacua Superstrings and Heterotic Strings |
| url | https://doi.org/10.1007/JHEP01(2025)032 |
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