Integrating the Chirally Split Diffeomorphism Anomaly on a Compact Riemann Surface

Details Integrating the Chirally Split Diffeomorphism Anomaly on a Compact Riemann Surface Integrating the Chirally Split Diffeomorphism Anomaly on a Compact Riemann Surface

1998-07-10

arxiv.org/abs/hep-th/9807077v1

Phys.Lett. B436 (1998) 73-83

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LaTex, no figures, to appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(98)00844-2

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. Although it works on the torus (genus 1), the proposed functional still remains to be related to a Wess-Zumino action for diffeomorphisms.

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