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.
Full text not available from this repository.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 | ||||||||||||
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Divisions : | Surrey research (other units) | ||||||||||||
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Date : | 24 November 2009 | ||||||||||||
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Depositing User : | Symplectic Elements | ||||||||||||
Date Deposited : | 17 May 2017 12:30 | ||||||||||||
Last Modified : | 24 Jan 2020 22:23 | ||||||||||||
URI: | http://epubs.surrey.ac.uk/id/eprint/835614 |
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