# Non-perturbative topological strings

S. Pasquetti (CERN)

09.07.2009 at 16:15

A characteristic feature of string theory is the
asymptotic nature of the free energy genus expansion (F_g ~ (2g)!)
indicating the presence of non-perturbative
effects (Exp(-1/g_s) ) due to branes.
In certain toy models, such as minimal models or topological strings,
the theory admits a matrix model description.
In these cases the non-perturbative effects can be interpreted
in terms of eigenvalues tunneling in the dual matrix model
and the finite N matrix model can be naturally
regarded as the non-perturbative completion of the theory.
We address the case of the topological string on the Resolved Conifold.
We compute the exact non-perturbative contribution to the free energy
via Borel analysis and show how it controls the large order behavior of the theory.
We interpreted the non-perturbative effects in the dual Chern-Simons matrix models
and in the space-time in terms of toric branes.

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