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Published August 15, 1991 | public
Journal Article

KdV recursion relations for the two-matrix models

Yen, Tim

Abstract

We find a KdV recursion relation for the two-matrix models in addition to that by Dijkgraaf and Witten [Nucl. Phys. B 342 (1990) 486]. We show that together the relations can be used as algebraic resursion relations for correlation functions which express all correlation functions with an insertion of P in each genus in terms of 〈PP〉, 〈PQ〉, and 〈QQ〉 in a unique way. P and Q are the puncture operator and the dilation operator, and also we assume the scaling ansatz. The KdV recursion relations found do not involve explicitly the infinite number of coupling constants as in the case of the recursion relations given by the Virasoro constraints and the W-constraints.

Additional Information

© 1991 Elsevier B.V. Received 9 March 1991. Work supported in part by the US Department of Energy under Contract No. DE-AC0381-ER40050.

Additional details

Created:
August 20, 2023
Modified:
October 17, 2023