Integrability conditions for Killing spinors |
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Authors: | P van Nieuwenhuizen N P Warner |
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Institution: | (1) Instituut voor Theoretische Fysica, Princetonplein 5, P.O. Box 80.006, NL-2508 TA Utrecht, The Netherlands;(2) California Institute of Technology, 91125 Pasadena, CA, USA |
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Abstract: | The conditions for the existence of solutions ofD
µ =±c µ are discussed. In general, it is not sufficient to consider only the first integrability condition D
µ,D
v
] =–2c
2 {µv} ; in particular, the second integrability condition is needed to explain why, in certain cases, only for one choice of sign does a solution exist. The Killing spinor-tensors, as defined by Walker and Penrose, are shown to be the spinorial equivalent of conformal Killing tensors. Their relationship to the Killing spinors and spinor-vectors used in supergravity, is given.On leave from the Institute for Theoretical Physics of the State University of New York at Stony BrookWork supported in part by the U.S. Department of Energy under Contract No. DEAC-03-81-ER 40050 and Weingart Fellowship |
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Keywords: | |
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