Extended Riemannian geometry II: local heterotic double field theory
Abstract We continue our exploration of local Double Field Theory (DFT) in terms of symplectic graded manifolds carrying compatible derivations and study the case of heterotic DFT. We start by developing in detail the differential graded manifold that captures heterotic Generalized Geometry which le...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP04(2018)106 |
| _version_ | 1811321637182636032 |
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| author | Andreas Deser Marc Andre Heller Christian Sämann |
| author_facet | Andreas Deser Marc Andre Heller Christian Sämann |
| author_sort | Andreas Deser |
| collection | DOAJ |
| description | Abstract We continue our exploration of local Double Field Theory (DFT) in terms of symplectic graded manifolds carrying compatible derivations and study the case of heterotic DFT. We start by developing in detail the differential graded manifold that captures heterotic Generalized Geometry which leads to new observations on the generalized metric and its twists. We then give a symplectic pre-NQ-manifold that captures the symmetries and the geometry of local heterotic DFT. We derive a weakened form of the section condition, which arises algebraically from consistency of the symmetry Lie 2-algebra and its action on extended tensors. We also give appropriate notions of twists — which are required for global formulations — and of the torsion and Riemann tensors. Finally, we show how the observed α′-corrections are interpreted naturally in our framework. |
| first_indexed | 2024-04-13T13:21:13Z |
| format | Article |
| id | doaj.art-f125a7bb356941528db0dc8d6a3e28b6 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-13T13:21:13Z |
| publishDate | 2018-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-f125a7bb356941528db0dc8d6a3e28b62022-12-22T02:45:20ZengSpringerOpenJournal of High Energy Physics1029-84792018-04-012018412910.1007/JHEP04(2018)106Extended Riemannian geometry II: local heterotic double field theoryAndreas Deser0Marc Andre Heller1Christian Sämann2Istituto Nationale di Fisica NucleareParticle Theory and Cosmology Group, Department of Physics, Graduate School of Science, Tohoku UniversityMaxwell Institute for Mathematical Sciences, Department of Mathematics, Heriot-Watt UniversityAbstract We continue our exploration of local Double Field Theory (DFT) in terms of symplectic graded manifolds carrying compatible derivations and study the case of heterotic DFT. We start by developing in detail the differential graded manifold that captures heterotic Generalized Geometry which leads to new observations on the generalized metric and its twists. We then give a symplectic pre-NQ-manifold that captures the symmetries and the geometry of local heterotic DFT. We derive a weakened form of the section condition, which arises algebraically from consistency of the symmetry Lie 2-algebra and its action on extended tensors. We also give appropriate notions of twists — which are required for global formulations — and of the torsion and Riemann tensors. Finally, we show how the observed α′-corrections are interpreted naturally in our framework.http://link.springer.com/article/10.1007/JHEP04(2018)106Differential and Algebraic GeometrySuperstrings and Heterotic StringsFlux compactifications |
| spellingShingle | Andreas Deser Marc Andre Heller Christian Sämann Extended Riemannian geometry II: local heterotic double field theory Journal of High Energy Physics Differential and Algebraic Geometry Superstrings and Heterotic Strings Flux compactifications |
| title | Extended Riemannian geometry II: local heterotic double field theory |
| title_full | Extended Riemannian geometry II: local heterotic double field theory |
| title_fullStr | Extended Riemannian geometry II: local heterotic double field theory |
| title_full_unstemmed | Extended Riemannian geometry II: local heterotic double field theory |
| title_short | Extended Riemannian geometry II: local heterotic double field theory |
| title_sort | extended riemannian geometry ii local heterotic double field theory |
| topic | Differential and Algebraic Geometry Superstrings and Heterotic Strings Flux compactifications |
| url | http://link.springer.com/article/10.1007/JHEP04(2018)106 |
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