A discrete integrable hierarchy related to the supersymmetric eigenvalue model
- 21 June 1994
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 27 (12) , 4161-4177
- https://doi.org/10.1088/0305-4470/27/12/022
Abstract
The supersymmetric eigenvalue model has been proposed as the analogue for two-dimensional supergravity of the matrix model. The double-scaling limit exhibits an integrable fermionic hierarchy which is related to the Korteweg-de Vries hierarchy. In this paper, a discrete analogue of this integrable structure, related to the Toda lattice, is found in the supersymmetric eigenvalue model.Keywords
This publication has 28 references indexed in Scilit:
- Odd Poisson brackets and the fermionic hierarchy of Becker and BeckerJournal of Physics A: General Physics, 1993
- A matrix integral solution to two-dimensionalW p-gravityCommunications in Mathematical Physics, 1992
- Infinite dimensional Grassmannian structure of two-dimensional quantum gravityCommunications in Mathematical Physics, 1992
- Noncritical Virasoro algebra of the d<1 matrix model and the quantized string fieldPhysics Letters B, 1991
- Integrability in random matrix modelsPhysics Letters B, 1991
- On the origin of Virasoro constraints in matrix model: lagrangian approachPhysics Letters B, 1990
- Geometry of the string equationsCommunications in Mathematical Physics, 1990
- Existence theorem for gauge algebraJournal of Mathematical Physics, 1985
- Feynman rules for reducible gauge theoriesPhysics Letters B, 1983
- Gauge algebra and quantizationPhysics Letters B, 1981