The Minkowski and conformal superspaces | Zendy

R. Fioresi | Zendy; M. A. Lledó | Zendy; V. S. Varadarajan | Zendy

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The Minkowski and conformal superspaces

Author(s) -

R. Fioresi,

M. A. Lledó,

V. S. Varadarajan

Publication year - 2007

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.2799262

Subject(s) - superspace , supergroup , minkowski space , supermanifold , conformal map , pure mathematics , mathematics , lie group , compactification (mathematics) , superalgebra , mathematical physics , algebra over a field , mathematical analysis , supersymmetry , geochemistry , geology

We define complex Minkowski superspace in 4 dimensions as the big cell insidea complex flag supermanifold. The complex conformal supergroup acts naturallyon this super flag, allowing us to interpret it as the conformalcompactification of complex Minkowski superspace. We then consider real Minkowski superspace as a suitable real form of the complex version. Ourmethods are group theoretic, based on the real conformal supergroup and its Lie superalgebra.Comment: AMS LaTeX, 44 page

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