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arXiv · 1601.02025

Conformal field theory of a space-filling string of gravitational ancestry

Claudio Bunster·Alfredo Perez
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Abstract

We present a classical conformal field theory on an arbitrary two-dimensional spacetime background. The dynamical object is a space-filling string, and the evolution may be thought as occurring on the manifold of the conformal group. The theory is a "descendant" of the theory of gravitation in two-dimensional spacetime. The discussion is based on the relation of the deformations of the space-filling string with conformal transformations. The realization of the conformal algebra in terms of surface deformations possesses a classical central charge. The action principle, the conformal and Weyl invariances of the action, and the equations of motion are studied. The energy-momentum tensor, the coupling to Liouville matter, and the cancellation of anomalies are analyzed. The quantum theory is not discussed.

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Claudio Bunster, Alfredo Perez. 2016-01-08. Conformal field theory of a space-filling string of gravitational ancestry. https://arxiv.org/abs/1601.02025

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