A Continuum Approach to 2DQuantum Gravity for c>1
Abstract
Two dimensional induced quantum gravity with matter central charge $c>1$ is studied taking a careful consideration of both diffeomorphism and Weyl symmetries . It is shown that, for the gauge fixing condition $R(g)$ (scalar curvature)=$const$, one obtains a modification of the DavidDistlerKawai version of KPZ scaling. We obtain a class of models with the real string tension for all values $c>1$. They contain an indeterminate parameter which is, however, strongly constrained by the requirement of non triviality of such a model. The possible physical significance of the new model is discussed. In particular we note that it describes smooth surfaces imbedded in $d$dimensional flat space time for arbitrary $d$, consistently with recent numerical result for $d=3$.
 Publication:

String Theory, Quantum Gravity, and the Unification of the Fundamental Interactions
 Pub Date:
 1993
 arXiv:
 arXiv:hepth/9307105
 Bibcode:
 1993stqu.conf..414M
 Keywords:

 High Energy Physics  Theory
 EPrint:
 36 pages, phyzzx.tex