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 neighbouring geometries. As a mathematical application, we obtain the 1/N asymptotics of the partition function of Chern-Simons theory on the lens space L(2,L), and we test it numerically to high precision in order to exhibit the importance of instanton effects. © SISSA 2010
Mariño, M., Pasquetti, S., & Putrov, P. (2010). Large at duality beyond the genus expansion. JOURNAL OF HIGH ENERGY PHYSICS, 2010(7) [10.1007/JHEP07(2010)074].
Citazione: | Mariño, M., Pasquetti, S., & Putrov, P. (2010). Large at duality beyond the genus expansion. JOURNAL OF HIGH ENERGY PHYSICS, 2010(7) [10.1007/JHEP07(2010)074]. | |
Tipo: | Articolo in rivista - Articolo scientifico | |
Carattere della pubblicazione: | Scientifica | |
Presenza di un coautore afferente ad Istituzioni straniere: | Si | |
Titolo: | Large at duality beyond the genus expansion | |
Autori: | Mariño, M; Pasquetti, S; Putrov, P | |
Autori: | PASQUETTI, SARA (Secondo) | |
Data di pubblicazione: | 2010 | |
Lingua: | English | |
Rivista: | JOURNAL OF HIGH ENERGY PHYSICS | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/JHEP07(2010)074 | |
Appare nelle tipologie: | 01 - Articolo su rivista |