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Remodeling the B-model

Bouchard, V, Klemm, A, Marino, M and Pasquetti, S (2008) Remodeling the B-model Communications in Mathematical Physics, 287 (1). pp. 117-178.

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Abstract

We 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.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Bouchard, VUNSPECIFIEDUNSPECIFIED
Klemm, AUNSPECIFIEDUNSPECIFIED
Marino, MUNSPECIFIEDUNSPECIFIED
Pasquetti, SUNSPECIFIEDUNSPECIFIED
Date : 10 September 2008
Identification Number : 10.1007/s00220-008-0620-4
Uncontrolled Keywords : hep-th, hep-th, math.AG
Related URLs :
Additional Information : The final publication is available at Springer via http://dx.doi.org/10.1007/s00220-008-0620-4
Depositing User : Symplectic Elements
Date Deposited : 22 Jan 2016 10:00
Last Modified : 22 Jan 2016 10:00
URI: http://epubs.surrey.ac.uk/id/eprint/809371

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