Gravity from AKSZ-Manin theories in two, three, and four dimensions
Abstract We show that various dynamical gauge theories in two, three and four dimensions, obtained as Manin deformations of topological Alexandrov-Kontsevich-Schwarz-Zaboronsky (AKSZ) theories, are equivalent to gravitational theories. Since gravity is topological in two and three dimension, this eq...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP06(2025)075 |
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| _version_ | 1849767412151353344 |
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| author | Leron Borsten Dimitri Kanakaris Hyungrok Kim |
| author_facet | Leron Borsten Dimitri Kanakaris Hyungrok Kim |
| author_sort | Leron Borsten |
| collection | DOAJ |
| description | Abstract We show that various dynamical gauge theories in two, three and four dimensions, obtained as Manin deformations of topological Alexandrov-Kontsevich-Schwarz-Zaboronsky (AKSZ) theories, are equivalent to gravitational theories. Since gravity is topological in two and three dimension, this equivalence requires a diffeomorphism breaking background source term. In four dimensions, however, the MacDowell-Mansouri formulation of Einstein gravity with a cosmological constant is obtained identically via the Manin deformation of a particular AKSZ theory. |
| format | Article |
| id | doaj-art-3bbd4aa3515147d8a79308e504ae06ca |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-3bbd4aa3515147d8a79308e504ae06ca2025-08-20T03:04:12ZengSpringerOpenJournal of High Energy Physics1029-84792025-06-012025611810.1007/JHEP06(2025)075Gravity from AKSZ-Manin theories in two, three, and four dimensionsLeron Borsten0Dimitri Kanakaris1Hyungrok Kim2Department of Physics, Astronomy and Mathematics, University of HertfordshireDepartment of Physics, Astronomy and Mathematics, University of HertfordshireDepartment of Physics, Astronomy and Mathematics, University of HertfordshireAbstract We show that various dynamical gauge theories in two, three and four dimensions, obtained as Manin deformations of topological Alexandrov-Kontsevich-Schwarz-Zaboronsky (AKSZ) theories, are equivalent to gravitational theories. Since gravity is topological in two and three dimension, this equivalence requires a diffeomorphism breaking background source term. In four dimensions, however, the MacDowell-Mansouri formulation of Einstein gravity with a cosmological constant is obtained identically via the Manin deformation of a particular AKSZ theory.https://doi.org/10.1007/JHEP06(2025)075Classical Theories of GravityGauge SymmetryChern-Simons Theoriesde Sitter space |
| spellingShingle | Leron Borsten Dimitri Kanakaris Hyungrok Kim Gravity from AKSZ-Manin theories in two, three, and four dimensions Journal of High Energy Physics Classical Theories of Gravity Gauge Symmetry Chern-Simons Theories de Sitter space |
| title | Gravity from AKSZ-Manin theories in two, three, and four dimensions |
| title_full | Gravity from AKSZ-Manin theories in two, three, and four dimensions |
| title_fullStr | Gravity from AKSZ-Manin theories in two, three, and four dimensions |
| title_full_unstemmed | Gravity from AKSZ-Manin theories in two, three, and four dimensions |
| title_short | Gravity from AKSZ-Manin theories in two, three, and four dimensions |
| title_sort | gravity from aksz manin theories in two three and four dimensions |
| topic | Classical Theories of Gravity Gauge Symmetry Chern-Simons Theories de Sitter space |
| url | https://doi.org/10.1007/JHEP06(2025)075 |
| work_keys_str_mv | AT leronborsten gravityfromakszmanintheoriesintwothreeandfourdimensions AT dimitrikanakaris gravityfromakszmanintheoriesintwothreeandfourdimensions AT hyungrokkim gravityfromakszmanintheoriesintwothreeandfourdimensions |