Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Site Tag Cloud

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration finite foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf sheaves simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).
    • 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