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 Kähler parameters, one of which corresponds to the expected fibration over double-struck P sign1. 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. © SISSA 2006

Caporaso, N., Cirafici, M., Griguolo, L., Pasquetti, S., Seminara, D., Szabo, R. (2006). Topological strings and large N phase transitions II: chiral expansion of q-deformed Yang-Mills theory. JOURNAL OF HIGH ENERGY PHYSICS, 2006(1), 865-915 [10.1088/1126-6708/2006/01/036].

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

PASQUETTI, SARA;
2006

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 Kähler parameters, one of which corresponds to the expected fibration over double-struck P sign1. 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. © SISSA 2006
Articolo in rivista - Articolo scientifico
Brane Dynamics in Gauge Theories; Field Theories in Lower Dimensions; Nonperturbative Effects; Topological Strings; Nuclear and High Energy Physics
English
2006
2006
1
865
915
none
Caporaso, N., Cirafici, M., Griguolo, L., Pasquetti, S., Seminara, D., Szabo, R. (2006). Topological strings and large N phase transitions II: chiral expansion of q-deformed Yang-Mills theory. JOURNAL OF HIGH ENERGY PHYSICS, 2006(1), 865-915 [10.1088/1126-6708/2006/01/036].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/145705
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