Semi-infinite homology and 2D gravity. I |
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| Authors: | Bong H Lian Gregg J Zuckerman |
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| Institution: | (1) Center for Theoretical Physics, Yale University, 06520 New Haven, CT, USA;(2) Department of Mathematics, University of Toronto, M5S 1A1 Toronto, Ontario, Canada;(3) Department of Mathematics, Yale University, 06520 New Haven, CT, USA |
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| 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.Supported in part by the Alfred P. Sloan FoundationSupported by NSF Grant DMS-8703581 |
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