Special geometry and space–time signature
We construct N=2 four and five-dimensional supergravity theories coupled to vector multiplets in various space–time signatures (t,s), where t and s refer, respectively, to the number of time and spatial dimensions. The five-dimensional supergravity theories, t+s=5, are constructed by investigating t...
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| Format: | Article |
| Language: | English |
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Elsevier
2017-10-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269317306433 |
| _version_ | 1819094656537853952 |
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| author | W.A. Sabra |
| author_facet | W.A. Sabra |
| author_sort | W.A. Sabra |
| collection | DOAJ |
| description | We construct N=2 four and five-dimensional supergravity theories coupled to vector multiplets in various space–time signatures (t,s), where t and s refer, respectively, to the number of time and spatial dimensions. The five-dimensional supergravity theories, t+s=5, are constructed by investigating the integrability conditions arising from Killing spinor equations. The five-dimensional supergravity theories can also be obtained by reducing Hull's eleven-dimensional supergravities on a Calabi–Yau threefold. The dimensional reductions of the five-dimensional supergravities on space and time-like circles produce N=2 four-dimensional supergravity theories with signatures (t−1,s) and (t,s−1) exhibiting projective special (para)-Kähler geometry. |
| first_indexed | 2024-12-21T23:30:53Z |
| format | Article |
| id | doaj.art-7ed34cf8f63145e18ab0e4998023fc70 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-21T23:30:53Z |
| publishDate | 2017-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-7ed34cf8f63145e18ab0e4998023fc702022-12-21T18:46:29ZengElsevierPhysics Letters B0370-26932017-10-01773191195Special geometry and space–time signatureW.A. Sabra0Centre for Advanced Mathematical Sciences and Physics Department, American University of Beirut, LebanonWe construct N=2 four and five-dimensional supergravity theories coupled to vector multiplets in various space–time signatures (t,s), where t and s refer, respectively, to the number of time and spatial dimensions. The five-dimensional supergravity theories, t+s=5, are constructed by investigating the integrability conditions arising from Killing spinor equations. The five-dimensional supergravity theories can also be obtained by reducing Hull's eleven-dimensional supergravities on a Calabi–Yau threefold. The dimensional reductions of the five-dimensional supergravities on space and time-like circles produce N=2 four-dimensional supergravity theories with signatures (t−1,s) and (t,s−1) exhibiting projective special (para)-Kähler geometry.http://www.sciencedirect.com/science/article/pii/S0370269317306433 |
| spellingShingle | W.A. Sabra Special geometry and space–time signature Physics Letters B |
| title | Special geometry and space–time signature |
| title_full | Special geometry and space–time signature |
| title_fullStr | Special geometry and space–time signature |
| title_full_unstemmed | Special geometry and space–time signature |
| title_short | Special geometry and space–time signature |
| title_sort | special geometry and space time signature |
| url | http://www.sciencedirect.com/science/article/pii/S0370269317306433 |
| work_keys_str_mv | AT wasabra specialgeometryandspacetimesignature |