Nonperturbative Effect in c=1 Noncritical String Theory and Penner Model
arXiv:hep-th/0512176 · doi:10.1016/j.nuclphysb.2006.02.006
Abstract
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.
26 pages, 3 figures; v2: study of multi-instanton effects is added