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Topological conformal field theory with a rational W potential and the dispersionless KP hierarchy

S. Aoyama·Y. Kodama
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Abstract

We present a new class of topological conformal field theories (TCFT) characterized by a rational $W$ potential, which includes the minimal models of A and D types as its subclasses. An explicit form of the $W$ potential is found by solving the underlying dispersionless KP hierarchy in a particular small phase space. We discuss also the dispersionless KP hierarchy in large phase spaces by reformulating the hierarchy, and show that the $W$ potential takes a universal form, which does not depend on a specific form of the solution in a large space.

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S. Aoyama, Y. Kodama. 1994-04-02. Topological conformal field theory with a rational W potential and the dispersionless KP hierarchy. https://doi.org/10.1142/s0217732394002355

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