Eluding SUSY at every genus on stable closed string vacua

Details Eluding SUSY at every genus on stable closed string vacua Eluding SUSY at every genus on stable closed string vacua

2011-02-25

arxiv.org/abs/1102.5276v2

Physics

High Energy Physics

High Energy Physics - Theory

v2, 17 pages, 8 figures, typos corrected, new figure added with 3 modular images of long horocycles,(obtained with Mathematica

Scientific paper

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.

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