Classical and Quantum Integrability in Laplacian Growth

Eldad Bettelheim


We provide a review of Laplacian growth geared at making a link between this problem and quantum integrability. The purpose is to put to use the link between quantum integrability and conformal feld theory in order to provide a theory for the fractal structure of Laplacian growth clusters. The paper only provides the framework for this conjectural connection, while leaving the realization of this program for later work.

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