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

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

1994-04-02

arxiv.org/abs/hep-th/9404011v1

Mod.Phys.Lett. A9 (1994) 2481-2492

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, plain TEX, KUL-TF-94/7

Scientific paper

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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