2007

Diagonal multi-matrix correlators and BPS operators in N=4 SYM

Brown, T. W., Heslop, P. J., Ramgoolam, S.

Understand

We present a complete basis of multi-trace multi-matrix operators that has a diagonal two point function for the free matrix field theory at finite N.

This generalises to multiple matrices the single matrix diagonalisation by Schur polynomials.
Crucially, it involves intertwining the gauge group U(N) and the global symmetry group U(M) with Clebsch-Gordan coefficients of symmetric groups S_n.
When applied to N=4 super Yang-Mills we consider the U(3) subgroup of the full symmetry group.

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