Eluding SUSY at every genus on stable closed string vacua

TL;DR

This paper explores how ergodic properties of unipotent flows relate vacuum stability to UV spectral behavior in closed string theories, revealing constraints on supersymmetry deviations and mathematical implications for string measures.

Contribution

It introduces a novel connection between unipotent flow dynamics and string vacuum stability, providing quantitative bounds on supersymmetry deviations in perturbative regimes.

Findings

Infrared finiteness at all genera constrains supersymmetry deviations.

Unipotent flows relate to the Schottky problem and superstring measure construction.

Diagrammatic relations suggest a mathematical role for unipotent dynamics.

Abstract

In closed string vacua, ergodicity of unipotent flows provide a key for relating vacuum stability to the UV behavior of spectra and interactions. Infrared finiteness at all genera in perturbation theory can be rephrased in terms of cancelations involving only tree-level closed strings scattering amplitudes. This provides quantitative results on the allowed deviations from supersymmetry on perturbative stable vacua. From a mathematical perspective, diagrammatic relations involving closed string amplitudes suggest a relevance of unipotent flows dynamics for the Schottky problem and for the construction of the superstring measure.