dc.contributor.author | de Medeiros, Paul | |
dc.date.accessioned | 2017-04-21T10:58:09Z | |
dc.date.available | 2017-04-21T10:58:09Z | |
dc.date.issued | 2016-02 | |
dc.identifier.citation | de Medeiors, P. (2016) Submaximal conformal symmetry superalgebras for Lorentzian manifolds of low dimension. Journal of High Energy Physics, 2016(8) | nb_NO |
dc.identifier.uri | http://hdl.handle.net/11250/2440302 | |
dc.description.abstract | We consider a class of smooth oriented Lorentzian manifolds in dimensions three and four which admit a nowhere vanishing conformal Killing vector and a closed two-form that is invariant under the Lie algebra of conformal Killing vectors. The invariant two-form is constrained in a particular way by the conformal geometry of the manifold. In three dimensions, the conformal Killing vector must be everywhere causal (or null if the invariant two-form vanishes identically). In four dimensions, the conformal Killing vector must be everywhere null and the invariant two-form vanishes identically if the geometry is everywhere of Petrov type N or O. To the conformal class of any such geometry, it is possible to assign a particular Lie superalgebra structure, called a conformal symmetry superalgebra. The even part of this superalgebra contains conformal Killing vectors and constant R-symmetries while the odd part contains (charged) twistor spinors. The largest possible dimension of a conformal symmetry superalgebra is realised only for geometries that are locally conformally flat. We determine precisely which non-trivial conformal classes of metrics admit a conformal symmetry superalgebra with the next largest possible dimension, and compute all the associated submaximal conformal symmetry superalgebras. In four dimensions, we also compute symmetry superalgebras for a class of Ricci-flat Lorentzian geometries not of Petrov type N or O which admit a null Killing vector. | nb_NO |
dc.language.iso | nob | nb_NO |
dc.publisher | Springer | nb_NO |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.subject | teoretisk fysikk | nb_NO |
dc.subject | supersymmetric gauge theory | nb_NO |
dc.subject | extended supersymmetry | nb_NO |
dc.subject | differential and algebraic geometry | nb_NO |
dc.title | Submaximal conformal symmetry superalgebras for Lorentzian manifolds of low dimension | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.rights.holder | © The Author 2016 | nb_NO |
dc.subject.nsi | VDP::Matematikk og Naturvitenskap: 400::Fysikk: 430 | nb_NO |
dc.source.volume | 2016 | nb_NO |
dc.source.journal | Journal of High Energy Physics | nb_NO |
dc.identifier.doi | 10.1007/JHEP02(2016)008 | |