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

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

References in corpus (8)

• 2D Gravity and Random Matrices
• Lectures on 2D gravity and 2D string theory (TASI 1992)
• Non-Perturbative Effects in Matrix Models and D-branes
• Loops versus Matrices - The nonperturbative aspects of noncritical string
• Generalized Penner models to all genera
• Universality of Nonperturbative Effect in Type 0 String Theory
• Time-dependent backgrounds of 2D string theory: Non-perturbative effects
• Universality of Nonperturbative Effects in c<1 Noncritical String Theory

Cited by in corpus (10)

• Borel and Stokes Nonperturbative Phenomena in Topological String Theory and c=1 Matrix Models
• Stokes Phenomena and Non-perturbative Completion in the Multi-cut Two-matrix Models
• Stokes Phenomena and Quantum Integrability in Non-critical String/M Theory
• Partition functions and the continuum limit in Penner matrix models
• Fine structure in the large n limit of the non-hermitian Penner matrix model
• Monte Carlo approach to nonperturbative strings -- demonstration in noncritical string theory
• Analytic Study for the String Theory Landscapes via Matrix Models
• Riemann Hypothesis, Matrix/Gravity Correspondence and FZZT Brane Partition Functions
• Phase space and phase transitions in the Penner matrix model with negative coupling constant
• An Exact Bosonization Rule for c=1 Noncritical String Theory