Abstract
Closed expressions are derived for resonant multidimensional x-ray spectroscopy using the quasiparticle nonlinear exciton representation of optical response. This formalism is applied to predict coherent four wave mixing signals which probe single and two-core-hole states. Nonlinear x-ray signals are compactly expressed in terms of one- and two-particle Green's functions which can be obtained from the solution of Hedin-type equations at the $GW$ level.
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