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nLab > Latest Changes: cohomology of superconformal super Lie algebras

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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMar 25th 2015
    • (edited Mar 25th 2015)

    I have been adding stuff related to Green-Schwarz sigma models on super-AdS target spaces – added a list of references here – , and in the course of this touched a bunch of related entries and created a few more minimal entries.

    These references show (more or less) that the relevant super Lie algebra cocycles all lift through the Inönü-Wigner contraction from the super anti-de-Sitter/superconformal group to the super Poincaré-group. What I am really after is seeing which of the cocycles lift to super Möbius space, i.e. not to the coset of the super adS/superconrormal group by a super-Lorentz subgroup, but by a parabolic conformal subgroup. This I don’t understand yet at all, but it might as well be trivial, and I wouldn’t see it at this stage.

    Anyway, I have touched/created

    local and global geometry - table, anti de Sitter group, superconformal group, super anti de Sitter spacetime

    and maybe others, too. At conformal group I have added alightning statement of the key isomorphism with a pointer to the literature.

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