CCNV Space-Times as Potential Supergravity Solutions

It is of interest to study supergravity solutions preserving a nonminimal fraction of supersymmetries. A necessary condition for supersymmetry to be preserved is that the space-time admits a Killing spinor and hence a null or time-like Killing vector field. Any space-time admitting a covariantly con...

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Main Authors: A. Coley, D. McNutt, N. Pelavas
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2018/5861481
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author A. Coley
D. McNutt
N. Pelavas
author_facet A. Coley
D. McNutt
N. Pelavas
author_sort A. Coley
collection DOAJ
description It is of interest to study supergravity solutions preserving a nonminimal fraction of supersymmetries. A necessary condition for supersymmetry to be preserved is that the space-time admits a Killing spinor and hence a null or time-like Killing vector field. Any space-time admitting a covariantly constant null vector (CCNV) field belongs to the Kundt class of metrics and more importantly admits a null Killing vector field. We investigate the existence of additional non-space-like isometries in the class of higher-dimensional CCNV Kundt metrics in order to produce potential solutions that preserve some supersymmetries.
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spelling doaj-art-bb699f7bdc5b45db9539f6cde37d7a402025-08-20T03:22:54ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/58614815861481CCNV Space-Times as Potential Supergravity SolutionsA. Coley0D. McNutt1N. Pelavas2Department of Mathematics and Statistics, Dalhousie University, Halifax, NS, B3H 3J5, CanadaFaculty of Science and Technology, University of Stavanger, 4036 Stavanger, NorwayDepartment of Mathematics and Statistics, Dalhousie University, Halifax, NS, B3H 3J5, CanadaIt is of interest to study supergravity solutions preserving a nonminimal fraction of supersymmetries. A necessary condition for supersymmetry to be preserved is that the space-time admits a Killing spinor and hence a null or time-like Killing vector field. Any space-time admitting a covariantly constant null vector (CCNV) field belongs to the Kundt class of metrics and more importantly admits a null Killing vector field. We investigate the existence of additional non-space-like isometries in the class of higher-dimensional CCNV Kundt metrics in order to produce potential solutions that preserve some supersymmetries.http://dx.doi.org/10.1155/2018/5861481
spellingShingle A. Coley
D. McNutt
N. Pelavas
CCNV Space-Times as Potential Supergravity Solutions
Advances in Mathematical Physics
title CCNV Space-Times as Potential Supergravity Solutions
title_full CCNV Space-Times as Potential Supergravity Solutions
title_fullStr CCNV Space-Times as Potential Supergravity Solutions
title_full_unstemmed CCNV Space-Times as Potential Supergravity Solutions
title_short CCNV Space-Times as Potential Supergravity Solutions
title_sort ccnv space times as potential supergravity solutions
url http://dx.doi.org/10.1155/2018/5861481
work_keys_str_mv AT acoley ccnvspacetimesaspotentialsupergravitysolutions
AT dmcnutt ccnvspacetimesaspotentialsupergravitysolutions
AT npelavas ccnvspacetimesaspotentialsupergravitysolutions