English

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

High Energy Physics - Theory 2008-11-26 v2

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.

Keywords

Cite

@article{arxiv.hep-th/0512176,
  title  = {Nonperturbative Effect in c=1 Noncritical String Theory and Penner Model},
  author = {Yoshinori Matsuo},
  journal= {arXiv preprint arXiv:hep-th/0512176},
  year   = {2008}
}

Comments

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

R2 v1 2026-07-22T15:33:44.953Z