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nLab > Latest Changes: higher dimensional Chern-Simons theory

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeAug 6th 2011
    • (edited Jan 3rd 2013)
    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeAug 6th 2011

    added the definition to higher dimensional Chern-Simons theory. Not done yet, but have to interrupt now.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeAug 7th 2011

    I have added discussion of why the abelian Chern-Simons action is nontrivial precisely in dimensions (4k+3)(4k+3) for k∈ℕk \in \mathbb{N}.

    Then I vaguely indicated the holographically related self-dual theories for the first few values of kk

    • (k=0)(k = 0): 3d CS / 2d string

    • (k=1)(k=1): 7d CS / 6d fivebrane

    • (k=2)(k=2): 11d CS / space-filling 9-brane of type II

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJan 3rd 2013
    • (edited Jan 3rd 2013)

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