Integrable Conformal Field Theory in Four Dimensions and Fourth-rank Geometry

Abstract

We consider the conformal properties of geometries described by higher-rank line elements. A crucial role is played by the conformal Killing equation (CKE). We introduce the concept of null-flat spaces in which the line element can be written as ds = r!dζ1 · · ·dζr. We then show that, for null-flat spaces, the critical dimension, for which the CKE has… (More)

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Cite this paper

@inproceedings{Tapia1993IntegrableCF, title={Integrable Conformal Field Theory in Four Dimensions and Fourth-rank Geometry}, author={Victor E. Tapia}, year={1993} }