A Note on modified Veselov-Novikov Hierarchy

Details A Note on modified Veselov-Novikov Hierarchy A Note on modified Veselov-Novikov Hierarchy

1999-04-20

arxiv.org/abs/math-ph/9904017v1

Phys.Lett. B454 (1999) 31-37

Physics

Mathematical Physics

12 pp LaTeX2e. To be published in Physics Letters B

Scientific paper

10.1016/S0370-2693(99)00342-1

Because of its relevance to lower-dimensional conformal geometry, known as a generalized Weierstrass inducing, the modified Veselov-Novikov (mVN) hierarchy attracts renewed interest recently. It has been shown explicitly in the literature that an extrinsic string action \`a la Polyakov (Willmore functional) is invariant under deformations associated to the first member of the mVN hierarchy. In this note we go one step further and show the explicit invariance of the functional under deformations associated to all higher members of the hierarchy.

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