Generalized Weierstrass-Enneper inducing, conformal immersions, and gravity
High Energy Physics - Theory
2009-10-28 v1 Exactly Solvable and Integrable Systems
solv-int
Abstract
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.
Cite
@article{arxiv.hep-th/9506047,
title = {Generalized Weierstrass-Enneper inducing, conformal immersions, and gravity},
author = {Robert Carroll and Boris Konopelchenko},
journal= {arXiv preprint arXiv:hep-th/9506047},
year = {2009}
}
Comments
Latex, 37 pages