Remodeling the B-model

dc.creatorBouchard, Vincent
dc.creatorKlemm, Albrecht
dc.creatorMarino, Marcos
dc.creatorPasquetti, Sara
dc.date2007-09-10
dc.date.accessioned2026-07-07T12:43:06Z
dc.date.available2026-07-07T12:43:06Z
dc.descriptionWe propose a complete, new formalism to compute unambiguously B-model open and closed amplitudes in local Calabi-Yau geometries, including the mirrors of toric manifolds. The formalism is based on the recursive solution of matrix models recently proposed by Eynard and Orantin. The resulting amplitudes are non-perturbative in both the closed and the open moduli. The formalism can then be used to study stringy phase transitions in the open/closed moduli space. At large radius, this formalism may be seen as a mirror formalism to the topological vertex, but it is also valid in other phases in the moduli space. We develop the formalism in general and provide an extensive number of checks, including a test at the orbifold point of A_p fibrations, where the amplitudes compute the 't Hooft expansion of Wilson loops in lens spaces. We also use our formalism to predict the disk amplitude for the orbifold C^3/Z_3.
dc.description83 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/0709.1453
dc.identifierhttp://arxiv.org/abs/0709.1453
dc.identifierCommun.Math.Phys.287:117-178,2009
dc.identifierdoi:10.1007/s00220-008-0620-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220303
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.titleRemodeling the B-model
dc.typetext

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