On Boundary Perturbations in Liouville Theory and Brane Dynamics in Noncritical String Theories

Details On Boundary Perturbations in Liouville Theory and Brane Dynamics in Noncritical String Theories On Boundary Perturbations in Liouville Theory and Brane Dynamics in Noncritical String Theories

2003-08-21

arxiv.org/abs/hep-th/0308140v3

JHEP 0404:023,2004

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, harvmac, v2: Important correction concerning ID of RG fixed points, v3: Acknowledgement added

Scientific paper

10.1088/1126-6708/2004/04/023

We study certain relevant boundary perturbations of Liouville theory and discuss implications of our results for the brane dynamics in noncritical string theories. Our results include (i) There exist monodromies in the parameter $\mu_{\rm B}$ of the Neumann-type boundary condition that create an admixture represented by the Dirichlet type boundary condition. (ii) Certain renormalization group flows can be studied perturbatively, which allows one to determine the results of the corresponding brane decays. (iii) There exists a simple renormalization group flow that can be calculated exactly. In all the cases that we have studied, the RG flow acts like a covering transformation for the mondromies mentioned under (i).

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