  We calculate in a very simple way the spectrum of giant magnon bound states
at strong coupling in N=4 SYM, by utilizing the description of the field theory
vacuum in terms of a condensate of eigenvalues of commuting matrices. We
further show that these calculations can be understood in terms of the central
charge extension that permits the calculation of BPS masses in the Coulomb
branch of N=4 SYM. This paper shows further evidence that the strong coupling
expansion of the maximally supersymmetric Yang-Mills theory in four dimensions
can be done systematically from first principles, without the assumption of
integrability.
