Matrix models without scaling limit

Details Matrix models without scaling limit Matrix models without scaling limit

1992-09-13

arxiv.org/abs/hep-th/9209041v2

Int. J. Mod. Phys. A8 (1993) 2973-2992

Physics

High Energy Physics

High Energy Physics - Theory

Latex, SISSA-ISAS 161/92/EP

Scientific paper

10.1142/S0217751X93001211

In the context of hermitean one--matrix models we show that the emergence of the NLS hierarchy and of its reduction, the KdV hierarchy, is an exact result of the lattice characterizing the matrix model. Said otherwise, we are not obliged to take a continuum limit to find these hierarchies. We interpret this result as an indication of the topological nature of them. We discuss the topological field theories associated with both and discuss the connection with topological field theories coupled to topological gravity already studied in the literature.

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