TY - JOUR

T1 - A solution of two-dimensional topological quantum gravity

AU - Verlinde, Erik

AU - Verlinde, Herman

N1 - Funding Information:
* Research supported by NSF Waterman Grant Bitnet address : verlinde~à'iassns * * Research supported by NSF Grant PHY80-19754. Bitnet address: hlv@.pupthy.princeton.edu

PY - 1991/1/21

Y1 - 1991/1/21

N2 - 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.

AB - 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.

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U2 - 10.1016/0550-3213(91)90200-H

DO - 10.1016/0550-3213(91)90200-H

M3 - Article

AN - SCOPUS:0001158442

SN - 0550-3213

VL - 348

SP - 457

EP - 489

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 3

ER -