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nLab > Latest Changes: multi-trace operator

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJan 10th 2020

    starting something – not done yet but need to save

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJan 12th 2020
    • (edited Jan 12th 2020)

    added this statement:

    The supersymmetric and rotation-invariant multi trace observables of the N×NN \times N-BMN matrix model are precisely the values of su(N)-Lie algebra weight systems on Sullivan chord diagrams, namely on closures-with-permutations of horizontal chord diagrams:

    and a big graphics illustrating this (here)

    Still to be expanded further…

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJan 15th 2020

    added a bunch of early references.

    The earliest I have found that make explicit the correspondence of multi-trace operators on the gauge theory side to multi-particle/string excitations on the gravity side are Liu 98, p. 7, Andrianapoli-Ferrara 99, p. 13

    diff, v4, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJan 15th 2020
    • (edited Jan 15th 2020)

    I have polished and expanded the discussion of horizontal chord diagrams as multi-trace observables on the supersymmetric states of the BMN matrix model (here).

    Since this discussion pertains also to other entries, I’ll move it to a bare entry

    to be !include-ed into all relevant entries

    diff, v7, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeFeb 5th 2020

    added pointer to

    diff, v8, current

1 to 5 of 5

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