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Genus-zero Whitham hierarchies in conformal-map dynamics

Luis Martinez Alonso·Elena Medina
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Abstract

A scheme for solving quasiclassical string equations is developped to prove that genus-zero Whitham hierarchies describe the deformations of planar domains determined by rational conformal maps. This property is applied in normal matrix models to show that deformations of simply-connected supports of eigenvalues under changes of coupling constants are governed by genus-zero Whitham hierarchies.

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Luis Martinez Alonso, Elena Medina. 2006-09-14. Genus-zero Whitham hierarchies in conformal-map dynamics. https://doi.org/10.1016/j.physletb.2006.08.082

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