T 3-invariant heterotic Hull-Strominger solutions
Abstract We consider the heterotic string on Calabi-Yau manifolds admitting a Strominger-Yau-Zaslow fibration. Upon reducing the system in the T 3-directions, the Hermitian Yang-Mills conditions can then be reinterpreted as a complex flat connection on ℝ3 satisfying a certain co-closure condition. W...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2021)197 |
| _version_ | 1818369586625511424 |
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| author | Bobby Samir Acharya Alex Kinsella Eirik Eik Svanes |
| author_facet | Bobby Samir Acharya Alex Kinsella Eirik Eik Svanes |
| author_sort | Bobby Samir Acharya |
| collection | DOAJ |
| description | Abstract We consider the heterotic string on Calabi-Yau manifolds admitting a Strominger-Yau-Zaslow fibration. Upon reducing the system in the T 3-directions, the Hermitian Yang-Mills conditions can then be reinterpreted as a complex flat connection on ℝ3 satisfying a certain co-closure condition. We give a number of abelian and non-abelian examples, and also compute the back-reaction on the geometry through the non-trivial α′-corrected heterotic Bianchi identity, which includes an important correction to the equations for the complex flat connection. These are all new local solutions to the Hull-Strominger system on T 3 × ℝ3. We also propose a method for computing the spectrum of certain non-abelian models, in close analogy with the Morse-Witten complex of the abelian models. |
| first_indexed | 2024-12-13T23:26:12Z |
| format | Article |
| id | doaj.art-683595137fce43648434866ea255d66c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-13T23:26:12Z |
| publishDate | 2021-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-683595137fce43648434866ea255d66c2022-12-21T23:27:33ZengSpringerOpenJournal of High Energy Physics1029-84792021-01-012021113410.1007/JHEP01(2021)197T 3-invariant heterotic Hull-Strominger solutionsBobby Samir Acharya0Alex Kinsella1Eirik Eik Svanes2Department of Physics, Kings College LondonDepartment of Physics, Broida Hall, University of California Santa BarbaraDepartment of Mathematics and Physics, University of StavangerAbstract We consider the heterotic string on Calabi-Yau manifolds admitting a Strominger-Yau-Zaslow fibration. Upon reducing the system in the T 3-directions, the Hermitian Yang-Mills conditions can then be reinterpreted as a complex flat connection on ℝ3 satisfying a certain co-closure condition. We give a number of abelian and non-abelian examples, and also compute the back-reaction on the geometry through the non-trivial α′-corrected heterotic Bianchi identity, which includes an important correction to the equations for the complex flat connection. These are all new local solutions to the Hull-Strominger system on T 3 × ℝ3. We also propose a method for computing the spectrum of certain non-abelian models, in close analogy with the Morse-Witten complex of the abelian models.https://doi.org/10.1007/JHEP01(2021)197Superstring VacuaSuperstrings and Heterotic StringsFlux compactificationsSolitons Monopoles and Instantons |
| spellingShingle | Bobby Samir Acharya Alex Kinsella Eirik Eik Svanes T 3-invariant heterotic Hull-Strominger solutions Journal of High Energy Physics Superstring Vacua Superstrings and Heterotic Strings Flux compactifications Solitons Monopoles and Instantons |
| title | T 3-invariant heterotic Hull-Strominger solutions |
| title_full | T 3-invariant heterotic Hull-Strominger solutions |
| title_fullStr | T 3-invariant heterotic Hull-Strominger solutions |
| title_full_unstemmed | T 3-invariant heterotic Hull-Strominger solutions |
| title_short | T 3-invariant heterotic Hull-Strominger solutions |
| title_sort | t 3 invariant heterotic hull strominger solutions |
| topic | Superstring Vacua Superstrings and Heterotic Strings Flux compactifications Solitons Monopoles and Instantons |
| url | https://doi.org/10.1007/JHEP01(2021)197 |
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