Analytic Study for the String Theory Landscapes via Matrix Models

Abstract

We demonstrate a first-principle analysis of the string theory landscapes in the framework of non-critical string/matrix models. In particular, we discuss non-perturbative instability, decay rate and the true vacuum of perturbative string theories. As a simple example, we argue that the perturbative string vacuum of pure gravity is stable; but that of Yang-Lee edge singularity is inescapably a false vacuum. Surprisingly, most of perturbative minimal string vacua are unstable, and their true vacuum mostly does not suffer from non-perturbative ambiguity. Importantly, we observe that the instability of these tachyon-less closed string theories is caused by ghost D-instantons (or ghost ZZ-branes), the existence of which is determined only by non-perturbative completion of string theory.

v1: 5 pages, 2 figures; v2: references and footnote added; v3: 7 pages, 4 figures, organization changed, explanations expanded, references added, reconstruction program from arbitrary spectral curves shown explicitly

References in corpus (5)

• Ghost D-branes
• Direct Integration and Non-Perturbative Effects in Matrix Models
• Notes on the algebraic curves in (p,q) minimal string theory
• Nonperturbative Effect in c=1 Noncritical String Theory and Penner Model
• Fractional supersymmetric Liouville theory and the multi-cut matrix models

Cited by in corpus (5)

• Structure of Lefschetz thimbles in simple fermionic systems
• The Resurgence of Instantons: Multi-Cut Stokes Phases and the Painleve II Equation
• Probability distribution over some phenomenological models in the matrix model compactified on a torus
• Duality Constraints on String Theory: Instantons and spectral networks
• Wronskians, dualities and FZZT-Cardy branes