Boundary conformal field theories on random surfaces and the non-critical open string

Details Boundary conformal field theories on random surfaces and the non-critical open string Boundary conformal field theories on random surfaces and the non-critical open string

1996-05-14

arxiv.org/abs/hep-th/9605097v2

Nucl.Phys. B479 (1996) 82-112

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, latex, no figures. Text reorganised. A note, a new subsection, 2 apendices and 3 references added. Version to be pub

Scientific paper

10.1016/0550-3213(96)00446-4

We analyse boundary conformal field theories on random surfaces using the conformal gauge approach of David, Distler and Kawai. The crucial point is the choice of boundary conditions on the Liouville field. We discuss the Weyl anomaly cancellation for Polyakov`s non-critical open bosonic string with Neumann, Dirichlet and free boundary conditions. Dirichlet boundary conditions on the Liouville field imply that the metric is discontinuous as the boundary is approached. We consider the semi-classical limit and argue how it singles out the free boundary conditions on the Liouville field. We define the open string susceptibility, the anomalous gravitational scaling dimensions and a new Yang-Mills Feynman mass critical exponent.

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