Five-dimensional vector multiplets in arbitrary signature
Abstract We start developing a formalism which allows to construct supersymmetric theories systematically across space-time signatures. Our construction uses a complex form of the supersymmetry algebra, which is obtained by doubling the spinor representation. This allows one to partially disentangle...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP09(2018)053 |
| _version_ | 1818036236408848384 |
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| author | L. Gall T. Mohaupt |
| author_facet | L. Gall T. Mohaupt |
| author_sort | L. Gall |
| collection | DOAJ |
| description | Abstract We start developing a formalism which allows to construct supersymmetric theories systematically across space-time signatures. Our construction uses a complex form of the supersymmetry algebra, which is obtained by doubling the spinor representation. This allows one to partially disentangle the Lorentz and R-symmetry group and generalizes symplectic Majorana spinors. For the case where the spinor representation is complex-irreducible, the R-symmetry only acts on an internal multiplicity space, and we show that the connected groups which occur are SO(2), SO0(1, 1), SU(2) and SU(1, 1). As an application we construct the off-shell supersymmetry transformations and supersymmetric Lagrangians for five-dimensional vector multiplets in arbitrary signature (t, s). In this case the R-symmetry groups are SU(2) or SU(1, 1), depending on whether the spinor representation carries a quaternionic or para-quaternionic structure. In Euclidean signature the scalar and vector kinetic terms differ by a relative sign, which is consistent with previous results in the literature and shows that this sign flip is an inevitable consequence of the Euclidean supersymmetry algebra. |
| first_indexed | 2024-12-10T07:07:44Z |
| format | Article |
| id | doaj.art-b0d2f906112a43308a9220aef3adf6ee |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-10T07:07:44Z |
| publishDate | 2018-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b0d2f906112a43308a9220aef3adf6ee2022-12-22T01:58:08ZengSpringerOpenJournal of High Energy Physics1029-84792018-09-012018913810.1007/JHEP09(2018)053Five-dimensional vector multiplets in arbitrary signatureL. Gall0T. Mohaupt1Department of Mathematical Sciences, University of LiverpoolDepartment of Mathematical Sciences, University of LiverpoolAbstract We start developing a formalism which allows to construct supersymmetric theories systematically across space-time signatures. Our construction uses a complex form of the supersymmetry algebra, which is obtained by doubling the spinor representation. This allows one to partially disentangle the Lorentz and R-symmetry group and generalizes symplectic Majorana spinors. For the case where the spinor representation is complex-irreducible, the R-symmetry only acts on an internal multiplicity space, and we show that the connected groups which occur are SO(2), SO0(1, 1), SU(2) and SU(1, 1). As an application we construct the off-shell supersymmetry transformations and supersymmetric Lagrangians for five-dimensional vector multiplets in arbitrary signature (t, s). In this case the R-symmetry groups are SU(2) or SU(1, 1), depending on whether the spinor representation carries a quaternionic or para-quaternionic structure. In Euclidean signature the scalar and vector kinetic terms differ by a relative sign, which is consistent with previous results in the literature and shows that this sign flip is an inevitable consequence of the Euclidean supersymmetry algebra.http://link.springer.com/article/10.1007/JHEP09(2018)053Extended SupersymmetrySpace-Time SymmetriesString Duality |
| spellingShingle | L. Gall T. Mohaupt Five-dimensional vector multiplets in arbitrary signature Journal of High Energy Physics Extended Supersymmetry Space-Time Symmetries String Duality |
| title | Five-dimensional vector multiplets in arbitrary signature |
| title_full | Five-dimensional vector multiplets in arbitrary signature |
| title_fullStr | Five-dimensional vector multiplets in arbitrary signature |
| title_full_unstemmed | Five-dimensional vector multiplets in arbitrary signature |
| title_short | Five-dimensional vector multiplets in arbitrary signature |
| title_sort | five dimensional vector multiplets in arbitrary signature |
| topic | Extended Supersymmetry Space-Time Symmetries String Duality |
| url | http://link.springer.com/article/10.1007/JHEP09(2018)053 |
| work_keys_str_mv | AT lgall fivedimensionalvectormultipletsinarbitrarysignature AT tmohaupt fivedimensionalvectormultipletsinarbitrarysignature |