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

2016/01/08 by Claudio Bunster, Bunster, Claudio, Alfredo Pérez +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Quantum, superfluid, helium dynamics

paper · pdf · doi:10.48550/arxiv.1601.02025

openalex publication_date 2016/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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