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Topological strings and large N phase transitions II: Chiral expansion of q-deformed Yang-Mills theory

Caporaso, N, Cirafici, M, Griguolo, L, Pasquetti, S, Seminara, D and Szabo, RJ (2006) Topological strings and large N phase transitions II: Chiral expansion of q-deformed Yang-Mills theory JHEP, 0601. pp. 865-915.

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Abstract

We continue our study of the large N phase transition in q-deformed Yang-Mills theory on the sphere and its role in connecting topological strings to black hole entropy. We study in detail the chiral theory defined in terms of uncoupled single U(N) representations at large N and write down the resulting partition function by means of the topological vertex. The emergent toric geometry has three Kaehler parameters, one of which corresponds to the expected fibration over the sphere. By taking a suitable double-scaling limit we recover the chiral Gross-Taylor string expansion. To analyse the phase transition we construct a matrix model which describes the chiral gauge theory. It has three distinct phases, one of which should be described by the closed topological string expansion. We verify this expectation by explicit comparison between the matrix model and the chiral topological string free energies. We also show that the critical point in the pertinent phase of the matrix model corresponds to a divergence of the topological string perturbation series.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Caporaso, NUNSPECIFIEDUNSPECIFIED
Cirafici, MUNSPECIFIEDUNSPECIFIED
Griguolo, LUNSPECIFIEDUNSPECIFIED
Pasquetti, SUNSPECIFIEDUNSPECIFIED
Seminara, DUNSPECIFIEDUNSPECIFIED
Szabo, RJUNSPECIFIEDUNSPECIFIED
Date : 10 April 2006
Identification Number : 10.1088/1126-6708/2006/01/036
Uncontrolled Keywords : hep-th, hep-th
Related URLs :
Additional Information : © 2006. Published with a Creative Commons 4.0 Licence. The published version can be found here: http://dx.doi.org/10.1088/1126-6708/2006/01/036
Depositing User : Symplectic Elements
Date Deposited : 22 Dec 2015 12:47
Last Modified : 22 Jan 2016 11:40
URI: http://epubs.surrey.ac.uk/id/eprint/809368

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