Remodeling the B-Model |
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Authors: | Vincent?Bouchard Albrecht?Klemm Email author" target="_blank">Marcos?Mari?oEmail author Sara?Pasquetti |
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Institution: | 1.Jefferson Physical Laboratory,Harvard University,Cambridge,USA;2.Physikalisches Institut der Universit?t Bonn,Bonn,Germany;3.Department of Physics,CERN,Geneva 23,Switzerland;4.Institut de Physique,Université de Neuchatel,Neuchatel,Switzerland |
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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 vevs of Wilson loops in Chern-Simons theory on lens spaces.
We also use our formalism to predict the disk amplitude for the orbifold . |
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Keywords: | |
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