Nonperturbative Effect in c=1 Noncritical String Theory and Penner Model
Abstract
Description
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
26 pages, 3 figures; v2: study of multi-instanton effects is added