Non-critical open strings beyond the semi-classical approximation

Abstract

We studied the lowest order quantum corrections to the macroscopic wave functions $\Gamma (A,\ell )$ of non-critical string theory using the semi-classical expansion of Liouville theory. By carefully taking the perimeter constraint into account we obtained a new type of boundary condition for the Liouville field which is compatible with the reparametrization invariance of the boundary and which is not only a mixture of Dirichlet and Neumann types but also involves an integral of an exponential of the Liouville field along the boundary. This condition contains an unknown function of $A/{\ell }^2$. We determined this function by computing part of the one-loop corrections to $\Gamma (A,\ell )$.

23 pages, 1 figure, LaTeX file, epsf.sty

Cited by in corpus (2)

• A Microscopic Liouville Arrow of Time
• Liouville field theory with heavy charges. II. The conformal boundary case