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KdV recursion relations for the two-matrix models

Yen, Tim (1991) KdV recursion relations for the two-matrix models. Physics Letters B, 265 (3-4). pp. 321-325. ISSN 0370-2693. doi:10.1016/0370-2693(91)90060-4.

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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.

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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.
Funding AgencyGrant Number
Department of Energy (DOE)DE-AC03-81-ER40050
Issue or Number:3-4
Record Number:CaltechAUTHORS:20170830-153417935
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Official Citation:Tim Yen, KdV recursion relations for the two-matrix models, Physics Letters B, Volume 265, Issues 3–4, 15 August 1991, Pages 321-325, ISSN 0370-2693, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:80994
Deposited By: Tony Diaz
Deposited On:30 Aug 2017 23:35
Last Modified:15 Nov 2021 19:40

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