$R^2$ Gravity in $(2+\epsilon )$--Dimensional Quantum Gravity

Abstract

We study $R^2$ gravity in $(2+\epsilon )$--dimensional quantum gravity. Taking care of the oversubtraction problem in the conformal mode dynamics, we perform a full order calculation of string susceptibility in the $\epsilon \to 0$ limit. The result is consistent with that obtained through Liouville approach.

12 pages; KEK-TH-394, KEK Preprint 94-15, ICRR-Report-318-94-13, UT-Komaba/94-11

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