A Continuum Approach to 2D-Quantum Gravity for c>1

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Publication:3106716

DOI10.1142/S021797929700157XzbMATH Open1229.81266arXivhep-th/9307105OpenAlexW2071174207MaRDI QIDQ3106716

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Publication date: 29 December 2011

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

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 David-Distler-Kawai 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.


Full work available at URL: https://arxiv.org/abs/hep-th/9307105






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