Mansfield, P. and Neves, R. (1996) 'Boundary conformal field theories on random surfaces and the non-critical open string.', Nuclear physics B., 479 (1-2). pp. 82-112.
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 for 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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|Publisher Web site:||http://dx.doi.org/10.1016/0550-3213(96)00446-4|
|Publisher statement:||NOTICE: this is the author’s version of a work that was accepted for publication in Physics Letters B. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Physics Letters B, 479, 1-2, 11 November 1996, 10.1016/0550-3213(96)00446-4.|
|Date accepted:||26 August 1996|
|Date deposited:||No date available|
|Date of first online publication:||November 1996|
|Date first made open access:||No date available|
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