Harmonic metrics for the Hull-Strominger system and stability
We investigate stability conditions related to the existence of solutions of the Hull-Strominger system with prescribed balanced class. We build on recent work by the authors, where the Hull-Strominger system is recasted using non-Hermitian Yang-Mills connections and holomorphic Courant algebroids....
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Consejo Superior de Investigaciones Científicas (CSIC) |
| Repositorio: | DIGITAL.CSIC. Repositorio Institucional del CSIC |
| OAI Identifier: | oai:digital.csic.es:10261/381378 |
| Acceso en línea: | http://hdl.handle.net/10261/381378 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85193569955&doi=10.1142%2fS0129167X24410088&partnerID=40&md5=08e796cb30d2afb23f42d638ce0f6a99 |
| Access Level: | acceso abierto |
| Palabra clave: | Generalized geometry Harmonic metric Hull-Strominger system Stability |
| Sumario: | We investigate stability conditions related to the existence of solutions of the Hull-Strominger system with prescribed balanced class. We build on recent work by the authors, where the Hull-Strominger system is recasted using non-Hermitian Yang-Mills connections and holomorphic Courant algebroids. Our main development is a notion of harmonic metric for the Hull-Strominger system, motivated by an infinite-dimensional hyperKähler moment map and related to a numerical stability condition, which we expect to exist for families of solutions. We illustrate our theory with an infinite number of continuous families of examples on the Iwasawa manifold. © 2024 World Scientific Publishing Company. |
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