Generalized Weierstrass-Enneper inducing, conformal immersions, and gravity

Details Generalized Weierstrass-Enneper inducing, conformal immersions, and gravity Generalized Weierstrass-Enneper inducing, conformal immersions, and gravity

1995-06-08

arxiv.org/abs/hep-th/9506047v1

Int.J.Mod.Phys. A11 (1996) 1183-1216

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 37 pages

Scientific paper

10.1142/S0217751X96000547

Basic quantities related to 2-D gravity, such as Polyakov extrinsic action, Nambu-Goto action, geometrical action, and Euler characteristic are studied using generalized Weierstrass-Enneper (GWE) inducing of surfaces. Connection of the GWE inducing with conformal immersion is made and varius aspects of the theory are shown to be invariant under the modified Veselov-Novikov hierarchy of flows. The geometry of certain surfaces is shown to be connected with the dynamics of infinite and finite dimensional integrable systems. Connections to Liouville-Beltrami gravity are indicated.

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