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

Mansfield, P.; Neves, R.

Abstract

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.

Citation

Mansfield, P., & Neves, R. (1996). Boundary conformal field theories on random surfaces and the non-critical open string. Nuclear Physics B, 479(1-2), 82-112. https://doi.org/10.1016/0550-3213%2896%2900446-4

• Journal Article Type: Article
• Acceptance Date: Aug 26, 1996
• Publication Date: Nov 11, 1996
• Deposit Date: Jun 16, 2015
• Publicly Available Date: Jun 16, 2015
• Journal: Nuclear Physics B
• Print ISSN: 0550-3213
• Electronic ISSN: 1873-1562
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 479
• Issue: 1-2
• Pages: 82-112
• DOI: https://doi.org/10.1016/0550-3213%2896%2900446-4
• Public URL: https://durham-repository.worktribe.com/output/1632584
• Related Public URLs: http://arxiv.org/abs/hep-th/9605097