1/N**2 correction to free energy in Hermitian two matrix model

Eynard, B.; Kokotov, A.; Korotkin, D.

doi:10.1007/s11005-005-0157-9

1/N**2 correction to free energy in Hermitian two matrix model

B. Eynard
(
- Saclay, SPhT
)
,
A. Kokotov
(
- Concordia U., Montreal
)
,
D. Korotkin
(
- Concordia U., Montreal
)

Jan, 2004

7 pages

Published in:

Lett.Math.Phys. 71 (2005) 199-207

e-Print:

hep-th/0401166 [hep-th]

DOI:

10.1007/s11005-005-0157-9

Report number:

SACLAY-SPHT-T04-010

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Abstract:

Using the loop equations we find an explicit expression for genus 1 correction in hermitian two-matrix model in terms of holomorphic objects associated to spectral curve arising in large N limit. Our result generalises known expression for

F^1

in hermitian one-matrix model. We discuss the relationship between

F^1

, Bergmann tau-function on Hurwitz spaces, G-function of Frobenius manifolds and determinant of Laplacian over spectral curve.

matrix model: 2
energy
expansion 1/N
analytic properties

References(25)

Figures(0)

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