A U(1) Current Algebra Model Coupled to 2D-Gravity

Details A U(1) Current Algebra Model Coupled to 2D-Gravity A U(1) Current Algebra Model Coupled to 2D-Gravity

1993-04-19

arxiv.org/abs/hep-th/9304076v2

Mod.Phys.Lett. A8 (1993) 2687-2694

Physics

High Energy Physics

High Energy Physics - Theory

INRNE-TH/02/93, LaTeX, 11 pages, (slight change of title and other minor changes)

Scientific paper

10.1142/S021773239300307X

We consider a simple model of a scalar field with $U(1)$ current algebra gauge symmetry coupled to $2D$-gravity in order to clarify the origin of Stuckelberg symmetry in the $w_{\infty}$-gravity theory. An analogous symmetry takes place in our model too. The possible central extension of the complete symmetry algebra and the corresponding critical dimension have been found. The analysis of the Hamiltonian and the constraints shows that the generators of the current algebra, the reparametrization and the Stuckelberg symmetries are not independent. The connection of the model with $w_{1+\infty}-$ and $W_{1+\infty}$-gravity is discussed.

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