Nonperturbative Effect in c=1 Noncritical String Theory and Penner Model

Details Nonperturbative Effect in c=1 Noncritical String Theory and Penner Model Nonperturbative Effect in c=1 Noncritical String Theory and Penner Model

2005-12-15

arxiv.org/abs/hep-th/0512176v2

Nucl.Phys.B740:222-242,2006

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, 3 figures; v2: study of multi-instanton effects is added

Scientific paper

10.1016/j.nuclphysb.2006.02.006

We derive the effect of instantons in the Penner model. It is known that the free energies of the Penner model and the c=1 noncritical string at self-dual radius agree in a suitable double scaling limit. On the other hand, the instanton in the matrix model describes a nonperturbative effect in the noncritical string theory. We study the correspondence between the instantons in the Penner model and the nonperturbative effect in c=1 noncritical string at self-dual radius.

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