Curvature Singularity as the Vertex Operator

Preprint

13 February 1993

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9302017

Abstract

The submitted paper regards the example of the Conformal Field Theory on a 2d manifold which metric has a point-like singularity.Since this manifold is not conformally equivalent to that with the flat space-time metric,it's naturally to expect that the theory cannot be trivially reduced to the well-known consideration of the CFT on a plane,and some modifications are needed.Particularly,this paper shows how the vacuum of the theory on a singular surface differs from the vacuum of the BPZ theory.Namely,this vacuum would not be SL(2,C)-invariant and the expressions for the correlation functions should be modified. As a consequence of that,some "effective mass" is brought to the theory.

Keywords

All Related Versions

Version 1, 1993-02-04, ArXiv
Version 2, 1993-02-13, ArXiv
Published version: Nuclear Physics B, 401 (3), 698.

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