Large N duality beyond the genus expansion

Marino, M, Pasquetti, S and Putrov, P (2009) Large N duality beyond the genus expansion J HIGH ENERGY PHYS.

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Abstract

We study non-perturbative aspects of the large N duality between Chern-Simons theory and topological strings, and we find a rich structure of large N phase transitions in the complex plane of the 't Hooft parameter. These transitions are due to large N instanton effects, and they can be regarded as a deformation of the Stokes phenomenon. Moreover, we show that, for generic values of the 't Hooft coupling, instanton effects are not exponentially suppressed at large N and they correct the genus expansion. This phenomenon was first discovered in the context of matrix models, and we interpret it as a generalization of the oscillatory asymptotics along anti-Stokes lines. In the string dual, the instanton effects can be interpreted as corrections to the saddle string geometry due to discretized neighboring geometries. As a mathematical application, we obtain the 1/N asymptotics of the partition function of Chern-Simons theory on L(2,1), and we test it numerically to high precision in order to exhibit the importance of instanton effects.

Item Type:	Article
Authors :	Name Email ORCID Marino, M Pasquetti, S s.pasquetti@surrey.ac.uk Putrov, P
Date :	24 November 2009
Related URLs :	Author
Depositing User :	Symplectic Elements
Date Deposited :	17 May 2017 12:30
Last Modified :	16 Jan 2019 18:32
URI:	http://epubs.surrey.ac.uk/id/eprint/835614

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