Noncritical Strings, RG Flows and Holography

Details Noncritical Strings, RG Flows and Holography Noncritical Strings, RG Flows and Holography

2000-06-06

arxiv.org/abs/hep-th/0006043v2

Nucl.Phys. B590 (2000) 261-272

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, latex, no figures, minor changes and added references, version to be published in Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(00)00485-5

We derive an RG flow equation that is satisfied by the regularized partition function for noncritical strings in background fields. The flow refers to change in the position of a ``boundary'' in the liouville direction. The boundary is required to regularize the ultraviolet divergences in the partition function coming from integration over world-sheets of arbitrarily small area. From the point of view of the target space effective gravitational action that the partition function evaluates on-shell, the boundary regularizes {\it infrared} divergences coming from the infinite volume of the liouville direction. The RG flow equation that we obtain looks very much like the Hamilton-Jacobi constraint equation that an on-shell gauge-fixed gravitational action must satisfy.

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