Semi-infinite homology and 2D gravity. I

Details Semi-infinite homology and 2D gravity. I Semi-infinite homology and 2D gravity. I

Apr 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992cmaph.145..561l&link_type=abstract

Communications in Mathematical Physics, Volume 145, Issue 3, pp.561-593

Mathematics

Mathematical Physics

22

Scientific paper

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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