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Geometry of Virasoro constraints in nonperturbative 2-d quantum gravity

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Abstract

The string equation and the Virasoro constraints for arbitrary hermitian multimatrix models are derived using the Lie-Bäcklund symmetries of the generalised KdV equations. From this point of view the origin of the string equation and the meaning of the Virasoro constraints are explained. Some speculation about the appearance of extra constraints, which we suspect to be theW-constraints, is also given.

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Authors and Affiliations

  1. Physics Department, David Rittenhouse Laboratory, University of Pennsylvania, 19104, Philadelphia, PA, USA

    HoSeong La

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  1. HoSeong La
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Communicated by N. Yu. Reshetikhin

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La, H. Geometry of Virasoro constraints in nonperturbative 2-d quantum gravity. Commun.Math. Phys. 140, 569–588 (1991). https://doi.org/10.1007/BF02099135

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  • DOI: https://doi.org/10.1007/BF02099135

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