Supersymmetry and Lorentzian holonomy in various dimensions
Author(s) -
Rafael Hernández,
Konstadinos Sfetsos,
Dimitrios Zoakos
Publication year - 2004
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2004/09/010
Subject(s) - holonomy , spinor , formalism (music) , moduli , supersymmetry , physics , theoretical physics , realization (probability) , pure mathematics , constant (computer programming) , mathematical physics , light cone , mathematics , quantum mechanics , computer science , art , musical , visual arts , statistics , programming language
We present a systematic method for constructing manifolds with Lorentzianholonomy group that are non-static supersymmetric vacua admitting covariantlyconstant light-like spinors. It is based on the metric of their Riemanniancounterparts and the realization that, when certain conditions are satisfied,it is possible to promote constant moduli parameters into arbitrary functionsof the light-cone time. Besides the general formalism, we present in detailseveral examples in various dimensions.Comment: 19 pages, Late
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