Gauged supergravities from M-theory reductions
Abstract In supergravity compactifications, there is in general no clear prescription on how to select a finite-dimensional family of metrics on the internal space, and a family of forms on which to expand the various potentials, such that the lower-dimensional effective theory is supersymmetric. We...
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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)048 |
| _version_ | 1818419606431203328 |
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| author | Stefanos Katmadas Alessandro Tomasiello |
| author_facet | Stefanos Katmadas Alessandro Tomasiello |
| author_sort | Stefanos Katmadas |
| collection | DOAJ |
| description | Abstract In supergravity compactifications, there is in general no clear prescription on how to select a finite-dimensional family of metrics on the internal space, and a family of forms on which to expand the various potentials, such that the lower-dimensional effective theory is supersymmetric. We propose a finite-dimensional family of deformations for regular Sasaki-Einstein seven-manifolds M 7, relevant for M-theory compactifications down to four dimensions. It consists of integrable Cauchy-Riemann structures, corresponding to complex deformations of the Calabi-Yau cone M 8 over M 7. The non-harmonic forms we propose are the ones contained in one of the Kohn-Rossi cohomology groups, which is finite-dimensional and naturally controls the deformations of Cauchy-Riemann structures. The same family of deformations can be also described in terms of twisted cohomology of the base M 6, or in terms of Milnor cycles arising in deformations of M 8. Using existing results on SU(3) structure compactifications, we briefly discuss the reduction of M-theory on our class of deformed Sasaki-Einstein manifolds to four-dimensional gauged supergravity. |
| first_indexed | 2024-12-14T12:41:15Z |
| format | Article |
| id | doaj.art-70f475784db74b78884f1c3585a43eb5 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T12:41:15Z |
| publishDate | 2018-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-70f475784db74b78884f1c3585a43eb52022-12-21T23:00:54ZengSpringerOpenJournal of High Energy Physics1029-84792018-04-012018416510.1007/JHEP04(2018)048Gauged supergravities from M-theory reductionsStefanos Katmadas0Alessandro Tomasiello1Institut de Physique Théorique, Université Paris Saclay, CEA, CNRSDipartimento di Fisica, Università di Milano-BicoccaAbstract In supergravity compactifications, there is in general no clear prescription on how to select a finite-dimensional family of metrics on the internal space, and a family of forms on which to expand the various potentials, such that the lower-dimensional effective theory is supersymmetric. We propose a finite-dimensional family of deformations for regular Sasaki-Einstein seven-manifolds M 7, relevant for M-theory compactifications down to four dimensions. It consists of integrable Cauchy-Riemann structures, corresponding to complex deformations of the Calabi-Yau cone M 8 over M 7. The non-harmonic forms we propose are the ones contained in one of the Kohn-Rossi cohomology groups, which is finite-dimensional and naturally controls the deformations of Cauchy-Riemann structures. The same family of deformations can be also described in terms of twisted cohomology of the base M 6, or in terms of Milnor cycles arising in deformations of M 8. Using existing results on SU(3) structure compactifications, we briefly discuss the reduction of M-theory on our class of deformed Sasaki-Einstein manifolds to four-dimensional gauged supergravity.http://link.springer.com/article/10.1007/JHEP04(2018)048Differential and Algebraic GeometryFlux compactificationsSupergravity ModelsSuperstring Vacua |
| spellingShingle | Stefanos Katmadas Alessandro Tomasiello Gauged supergravities from M-theory reductions Journal of High Energy Physics Differential and Algebraic Geometry Flux compactifications Supergravity Models Superstring Vacua |
| title | Gauged supergravities from M-theory reductions |
| title_full | Gauged supergravities from M-theory reductions |
| title_fullStr | Gauged supergravities from M-theory reductions |
| title_full_unstemmed | Gauged supergravities from M-theory reductions |
| title_short | Gauged supergravities from M-theory reductions |
| title_sort | gauged supergravities from m theory reductions |
| topic | Differential and Algebraic Geometry Flux compactifications Supergravity Models Superstring Vacua |
| url | http://link.springer.com/article/10.1007/JHEP04(2018)048 |
| work_keys_str_mv | AT stefanoskatmadas gaugedsupergravitiesfrommtheoryreductions AT alessandrotomasiello gaugedsupergravitiesfrommtheoryreductions |