A solution of two-dimensional topological quantum gravity

Erik Verlinde; Herman Verlinde

doi:10.1016/0550-3213(91)90200-H

A solution of two-dimensional topological quantum gravity

Erik Verlinde, Herman Verlinde

Physics

Research output: Contribution to journal › Article › peer-review

146 Scopus citations

Abstract

We give a formulation of two-dimensional topological gravity without matter in terms of a supersymmetric conformally invariant field theory and derive a path integral expression for the physical amplitudes. A careful analysis of the contact terms of the physical operators reveals the presence of a non-commutative algebra, isomorphic to the Virasoro algebra. We show that this algebra completely determines all the amplitudes at arbitrary genus, which coincide with those of the one-matrix model at the k = 1 critical point.

Original language	English (US)
Pages (from-to)	457-489
Number of pages	33
Journal	Nuclear Physics, Section B
Volume	348
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(91)90200-H
State	Published - Jan 21 1991

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/0550-3213(91)90200-H

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