CERN Accelerating science

Article
Report number	arXiv:0709.1453 ; BONN-TH-2007-07 ; CERN-PH-TH-2007-153 ; NEIP-07-03 ; BONN-TH-2007-07 ; CERN-PH-TH-2007-153 ; NEIP-07-03
Title	Remodeling the B-model
Author(s)	Bouchard, Vincent (Harvard U., Phys. Dept.) ; Klemm, Albrecht (Bonn U.) ; Marino, Marcos (CERN) ; Pasquetti, Sara (Neuchatel U.)
Publication	2009
Imprint	11 Sep 2007
Number of pages	83
Note	83 pages, 9 figures
In:	Commun. Math. Phys. 287 (2009) 117-178
DOI	10.1007/s00220-008-0620-4
Subject category	Particle Physics - Theory
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.

Corresponding record in: Inspire