Massive bigravity as a presymplectic BV-AKSZ sigma-model
Abstract We propose a presymplectic BV-AKSZ sigma model encoding the ghost-free massive bigravity theory action as well as its Batalin-Vilkovisky extension in terms of the finite-dimensional graded geometry of the target space. A characteristic feature of the construction is that the target space is...
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| 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)130 |
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| author | Maxim Grigoriev Vyacheslav Gritzaenko |
| author_facet | Maxim Grigoriev Vyacheslav Gritzaenko |
| author_sort | Maxim Grigoriev |
| collection | DOAJ |
| description | Abstract We propose a presymplectic BV-AKSZ sigma model encoding the ghost-free massive bigravity theory action as well as its Batalin-Vilkovisky extension in terms of the finite-dimensional graded geometry of the target space. A characteristic feature of the construction is that the target space is realised as a quasi-regular submanifold of a linear graded manifold which, in turn, is a direct product of two copies of the shifted Poincaré or (anti-)de Sitter Lie algebra. This graded manifold comes equipped with a natural presymplectcic structure and the compatible pre-Q structure which is a sum of the Chevalley-Eilenberg differentials of each copy of the Lie algebra and the interaction term. The constraints determining the submanifold are the supergeometrical realisation of the known Deser-van Nieuwenhuizen condition and its descendant. |
| format | Article |
| id | doaj-art-d14ec7408c024a4a9ed64467cc25eb5b |
| 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-d14ec7408c024a4a9ed64467cc25eb5b2025-02-09T12:08:10ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025111810.1007/JHEP01(2025)130Massive bigravity as a presymplectic BV-AKSZ sigma-modelMaxim Grigoriev0Vyacheslav Gritzaenko1Service de Physique de l’Univers, Champs et Gravitation, Université de MonsTamm Theory department, Lebedev Physical InstituteAbstract We propose a presymplectic BV-AKSZ sigma model encoding the ghost-free massive bigravity theory action as well as its Batalin-Vilkovisky extension in terms of the finite-dimensional graded geometry of the target space. A characteristic feature of the construction is that the target space is realised as a quasi-regular submanifold of a linear graded manifold which, in turn, is a direct product of two copies of the shifted Poincaré or (anti-)de Sitter Lie algebra. This graded manifold comes equipped with a natural presymplectcic structure and the compatible pre-Q structure which is a sum of the Chevalley-Eilenberg differentials of each copy of the Lie algebra and the interaction term. The constraints determining the submanifold are the supergeometrical realisation of the known Deser-van Nieuwenhuizen condition and its descendant.https://doi.org/10.1007/JHEP01(2025)130BRST QuantizationClassical Theories of GravityDifferential and Algebraic GeometryGauge Symmetry |
| spellingShingle | Maxim Grigoriev Vyacheslav Gritzaenko Massive bigravity as a presymplectic BV-AKSZ sigma-model Journal of High Energy Physics BRST Quantization Classical Theories of Gravity Differential and Algebraic Geometry Gauge Symmetry |
| title | Massive bigravity as a presymplectic BV-AKSZ sigma-model |
| title_full | Massive bigravity as a presymplectic BV-AKSZ sigma-model |
| title_fullStr | Massive bigravity as a presymplectic BV-AKSZ sigma-model |
| title_full_unstemmed | Massive bigravity as a presymplectic BV-AKSZ sigma-model |
| title_short | Massive bigravity as a presymplectic BV-AKSZ sigma-model |
| title_sort | massive bigravity as a presymplectic bv aksz sigma model |
| topic | BRST Quantization Classical Theories of Gravity Differential and Algebraic Geometry Gauge Symmetry |
| url | https://doi.org/10.1007/JHEP01(2025)130 |
| work_keys_str_mv | AT maximgrigoriev massivebigravityasapresymplecticbvakszsigmamodel AT vyacheslavgritzaenko massivebigravityasapresymplecticbvakszsigmamodel |