String Motion on SDiff(M) and Hydrodynamics with Internal Degrees of Freedom

Rakowski, Mark (1995) String Motion on SDiff(M) and Hydrodynamics with Internal Degrees of Freedom. (Preprint)

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Abstract

We consider classical string theory where the target space SDiff(M) is the infinite dimensional group of volume preserving diffeomorphisms of a smooth manifold M. In analogy with the case of free point particle motion on SDiff(M), where the geodesic equation is equivalent to the Euler equation for an incompressible fluid, we find a new set of coupled nonlinear equations. These can be interpreted as equations for a perfect fluid with some internal degrees of freedom. Some subtleties involved in quantizing this geometrical picture are discussed.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 14:05
Last Modified: 18 Jul 2018 13:22
URI: http://dair.dias.ie/id/eprint/654

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