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29 March 2024
 
  » arxiv » hep-th/9506047

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Generalized Weierstrass-Enneper inducing, conformal immersions, and gravity
Robert Carroll ; Boris Konopelchenko ;
Date 8 Jun 1995
Journal Int.J.Mod.Phys. A11 (1996) 1183-1216
Subject High Energy Physics - Theory; Exactly Solvable and Integrable Systems | hep-th nlin.SI solv-int
AffiliationMathematics Dept., University of Illinois, Urbana, IL) and Boris Konopelchenko (Physics Dept., University of Lecce, Lecce, Italy and Budker Institute of Nuclear Physics, Novosibirsk, Russia
AbstractBasic 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.
Source arXiv, hep-th/9506047
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