Gravitational Dressing of Renormalization Group

Abstract

We study the gravitational dressing of renormalizable two-dimensional field theories. Our main result is that the one-loop $\beta$-function is finitely renormalized by the factor $\frac{k+2}{k+1}$, where $k$ is the central charge of the gravitational $SL(2,R)$ current algebra.

preprint PUPT-1421 10 pages

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