Supersymmetry and lorentzian holonomy in various dimensions
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2004
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Int School Advanced Studies
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Abstract
We present a systematic method for constructing manifolds with Lorentzian holonomy group that are non-static supersymmetric vacua admitting covariantly constant light-like spinors. It is based on the metric of their Riemannian counterparts and the realization that, when certain conditions are satisfied, it is possible to promote constant moduli parameters into arbitrary functions of the light-cone time. Besides the general formalism, we present in detail several examples in various dimensions.
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© SISSA/ISAS 2004. R.H. wishes to thank M. Blau for discussions. In addition, he acknowledges the financial support provided through the European Community’s Human Potential Programme under contract HPRN-CT-2000-00131 “Quantum Structure of Space-time”, the Swiss Office for Education and Science and the Swiss National Science Foundation. K.S. acknowledges the financial support provided through the European Community’s Human Potential Programme under contracts HPRN-CT-2000-00131 “Quantum Structure of Space-time” and HPRN-CT-2000-00122 “Superstring Theory”, by the Greek State Scholarships Foundation under the contract IKYDA-2001/22 “Quantum Fields and Strings”, as well as NATO support by a Collaborative Linkage Grant under the contract PST.CLG.978785 “Algebraic and Geometrical Aspects of Conformal Field Theories and Superstrings” and support by the INTAS contract 03-51-6346. D.Z. acknowledges the financial support provided through the Research Committee of the University of Patras for a “K.Karatheodory” fellowship under contract number 3022.