Symmetries, sato theory, and tau functions

Abstract

We relate Virasoro (conformal) symmetries with a subset of generators of the algebra and show their connection to the symmetries of [8] arising from Virasoro action on gauge operat tors . We a1so show explicitly their relation to the classical mastersymmetries of degree one (providing a new method of generating such mastersymmetries) and we establish connections with the impor tant operator . This leads to a Hamiltonian form for the Virasoro flows in a single potential context.

Keywords:

• symmetries
• Sato theory
• tau functions

AMS:

• 58F07