An exact algorithm for U(N) matrix models in the gauge-invariant singlet sector

This work develops an exact algorithm to compute observables for bosonic U(N) matrix models within their gauge-invariant singlet sector. By constructing an orthogonal basis using Schur polynomials, it provides a method to diagonalize the Hamiltonian and calculate matrix elements in closed form, offering a computational window into non-planar dynamics.

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