On correlation numbers in 2D minimal gravity and matrix models

A. A. Belavin; A. B. Zamolodchikov

doi:10.1088/1751-8113/42/30/304004

On correlation numbers in 2D minimal gravity and matrix models

A. A. Belavin
, A. B. Zamolodchikov

Institute for Theoretical Physics

Landau Inst. for Theoretical Physics

Research output: Contribution to journal › Article › peer-review

59 Scopus citations

Abstract

We test recent results for the four-point correlation numbers in minimal Liouville gravity against calculations in the one-matrix models, and find full agreement. In the process, we construct the resonance transformation which relates coupling parameters λ_k of the Liouville gravity to the couplings t_k of the matrix models, up to the terms of the order 4. We also conjecture the general form of this transformation.

Original language	English
Article number	304004
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	42
Issue number	30
DOIs	https://doi.org/10.1088/1751-8113/42/30/304004
State	Published - 2009

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title = "On correlation numbers in 2D minimal gravity and matrix models",

abstract = "We test recent results for the four-point correlation numbers in minimal Liouville gravity against calculations in the one-matrix models, and find full agreement. In the process, we construct the resonance transformation which relates coupling parameters λk of the Liouville gravity to the couplings tk of the matrix models, up to the terms of the order 4. We also conjecture the general form of this transformation.",

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AB - We test recent results for the four-point correlation numbers in minimal Liouville gravity against calculations in the one-matrix models, and find full agreement. In the process, we construct the resonance transformation which relates coupling parameters λk of the Liouville gravity to the couplings tk of the matrix models, up to the terms of the order 4. We also conjecture the general form of this transformation.

UR - https://www.scopus.com/pages/publications/70449572805

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DO - 10.1088/1751-8113/42/30/304004

M3 - Article

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VL - 42

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

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On correlation numbers in 2D minimal gravity and matrix models

Abstract

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