Curvature Singularity as the Vertex Operator

Details Curvature Singularity as the Vertex Operator Curvature Singularity as the Vertex Operator

1993-02-04

arxiv.org/abs/hep-th/9302017v2

Nucl.Phys. B401 (1993) 698-710

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

10.1016/0550-3213(93)90319-K

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.

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