One-point functions of loops and constraint equations of the multi-matrix models at finite N

Changrim Ahn, Kazuyasu Shigemoto

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Abstract

We derive one-point functions of the loop operators of hermitian matrix-chain models at finite N in terms of differential operators acting on the partition functions. The differential operators are completely determined by recursion relations from the Schwinger-Dyson equations. The interesting observation is that these generating operators of the one-point functions satisfy the W1 + ∞ like algebra. Also, we obtain constraint equations on the partition functions in terms of the differential operators. These constraint equations on the partition function define the symmetries of the matrix models at an off-critical point before taking the double scaling limit.

Original languageEnglish
Pages (from-to)42-48
Number of pages7
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume285
Issue number1-2
DOIs
StatePublished - 2 Jul 1992

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