English

Analytic Study for the String Theory Landscapes via Matrix Models

High Energy Physics - Theory 2013-05-30 v3 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.1206.2351,
  title  = {Analytic Study for the String Theory Landscapes via Matrix Models},
  author = {Chuan-Tsung Chan and Hirotaka Irie and Chi-Hsien Yeh},
  journal= {arXiv preprint arXiv:1206.2351},
  year   = {2013}
}

Comments

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

R2 v1 2026-06-21T21:17:38.735Z