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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2005, Volume 82, Issue 3, Pages 115–118
(Mi jetpl1516)
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This article is cited in 4 scientific papers (total in 4 papers)
FIELDS, PARTICLES, AND NUCLEI
Determinant formulas for matrix model free energy
D. V. Vasilievab a A. I. Alikhanov Institute for Theoretical and Experimental Physics
b Moscow Institute of Physics and Technology
Abstract:
The paper contains a new non-perturbative representation for subleading contribution to the free energy of multicut solution for hermitian matrix model. This representation is a generalisation of the formula, proposed by Klemm, Marino and Theisen for two cut solution, which was obtained by comparing the cubic matrix model with the topological B-model on the local Calabi-Yau geometry $\widehat{II}$ and was checked perturbatively. In this paper we give a direct proof of their formula and generalise it to the general multicut solution.
Received: 17.06.2005
Citation:
D. V. Vasiliev, “Determinant formulas for matrix model free energy”, Pis'ma v Zh. Èksper. Teoret. Fiz., 82:3 (2005), 115–118; JETP Letters, 82:3 (2005), 101–104
Linking options:
https://www.mathnet.ru/eng/jetpl1516 https://www.mathnet.ru/eng/jetpl/v82/i3/p115
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