SUPER-LIOUVILLE THEORY AS A TWO-DIMENSIONAL, SUPERCONFORMAL SUPERGRAVITY THEORY
- 20 January 1990
- journal article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Modern Physics A
- Vol. 5 (2) , 391-414
- https://doi.org/10.1142/s0217751x90000180
Abstract
In this paper we extend our previous results on the bosonic Liouville theory, to the supersymmetric case. As in the bosonic case, we find that the quantization of the N=1 theory is limited to the region D≤1. We compute the exact critical exponents and the analogue of the Hausdorff dimension of super random surfaces. Our procedure is manifestly covariant and our results hold for the surface of arbitrary topology. We also examine the N=2, O(2) string theory and find that it appears to be well-defined for all D.Keywords
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