Integrating the Chirally Split Diffeomorphism Anomaly on a Compact Riemann Surface †
نویسنده
چکیده
A well-defined chirally split functional integrating the 2D chirally split diffeomorphism anomaly is exhibited on an arbitrary compact Riemann surface without boundary. The construction requires both the use of the Beltrami parametrisation of complex structures and the introduction of a background metric possibly subject to a Liouville equation. This formula reproduces in the flat case the so-called Polyakov action. Althrough it works on the torus (genus 1), the proposed functional still remains to be related to a Wess-Zumino action for diffeomorphisms.
منابع مشابه
Uniformization Theory and 2d Gravity I. Liouville Action and Intersection Numbers
Department of Mathematics Imperial College 180 Queen’s Gate, London SW7 2BZ, U.K. and Department of Physics “G. Galilei” Istituto Nazionale di Fisica Nucleare University of Padova Via Marzolo, 8 35131 Padova, Italy ABSTRACT This is the first part of an investigation concerning the formulation of 2D gravity in the framework of the uniformization theory of Riemann surfaces. As a first step in thi...
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