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Stringy Tachyonic Instabilities of Non-Supersymmetric Ricci Flat Backgrounds

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arxiv 2010.02933 v1 pith:JCD5YRRO submitted 2020-10-06 hep-th

classification hep-th
keywords instabilitiesflatriccicompactmanifoldsradiusspinstringy
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Superstring/M-theory compactified on compact Ricci flat manifolds have recently been conjectured to exhibit instabilities whenever the metrics do not have special holonomy. We use worldsheet conformal field theory to investigate instabilities of Type II superstring theories on compact, Ricci flat, spin 3-manifolds including a worldsheet description of their spin structures. The instabilities are signalled by the appearance of stringy tachyons at small radius and a negative (1-loop) vacuum energy density at large radius. We briefly discuss the extension to higher dimensions.

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  1. Supersymmetry-breaking compactifications on Riemann-flat manifolds

    hep-th 2025-07 conditional novelty 7.0 of 10

    For maximal supergravity on Riemann-flat Bieberbach manifolds, the Kaluza-Klein spectrum can be reorganized so that all supertraces vanish up to mass power eight, yielding a finite, negative one-loop potential.

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