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The Minkowski and conformal superspaces

AuthorsFioresi, R.; Lledó, María Antonia ; Varadarajan, Veeravalli S.
KeywordsConformal symmetry
Group theory
Lie algebras
Space-time configurations
Issue Date8-Nov-2007
PublisherAmerican Institute of Physics
CitationJournal of Mathematical Physics 48(11): 113505 (2007)
AbstractWe define complex Minkowski superspace in four dimensions as the big cell inside a complex flag supermanifold. The complex conformal supergroup acts naturally on this superflag, allowing us to interpret it as the conformal compactification of complex Minkowski superspace. We then consider real Minkowski superspace as a suitable real form of the complex version. Our methods are group theoretic, based on the real conformal supergroup and its Lie superalgebra.
Description27 pages.-- PACS nrs.: 11.30.Pb, 98.80.Jk.-- ISI Article Identifier: 000251325500024.-- ArXiv pre-print available at: http://arxiv.org/abs/math/0609813
Publisher version (URL)http://dx.doi.org/10.1063/1.2799262
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