Abstract
In [33], we studied the constraint problem for two-dimensional quantum gravity in the conformal gauge. In this gauge, we proposed an ansatz for the gravitational sector. Using this ansatz, we established a striking connection between the matrix models and continuum 2D gravity. We also announced several results on semi-infinite homology of the Virasoro algebra with coefficients in a suitable class of positive energy modules. In this article, we will provide details of the proof of the announced results.
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Communicated by A. Jaffe
Supported in part by the Alfred P. Sloan Foundation
Supported by NSF Grant DMS-8703581
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Lian, B.H., Zuckerman, G.J. Semi-infinite homology and 2D gravity. I. Commun.Math. Phys. 145, 561–593 (1992). https://doi.org/10.1007/BF02099398
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DOI: https://doi.org/10.1007/BF02099398