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added this statement:
The supersymmetric and rotation-invariant multi trace observables of the $N \times N$-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…
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
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
added pointer to
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