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Exactly stable non-BPS spinors in heterotic string theory on tori

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Abstract

Considering SO(32) heterotic string theory compactified on T d with d ≤ 4, stability of non-supersymmetric states is studied. A non-supersymmetric state with robust stability is constructed, and its exact stability is proven in a large region of moduli space against all the possible decay mechanisms allowed by charge conservation. Using various T -duality transform matrices of [1], we translate various selection rules about conserved charges into simpler problems resembling partition and parity of integers. For heterotic string on T 4, we give a complete list of BPS atoms with elementary excitations, and we study BPS and non-BPS molecules with various binding energies. Using string-string duality, the results are interpreted in terms of Dirichlet-branes in type IIA string theory compactified on an orbifold limit of a K3 surface.

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Authors and Affiliations

  1. Ernest Rutherford Physics Department, McGill University, 3600 rue University, Montréal, Québec, H3A 2T8, Canada

    Jihye Seo

  2. Centre de recherches mathématiques, Université de Montréal, C.P. 6128, succ. centre-ville, Montréal, Québec, H3C 3J7, Canada

    Jihye Seo

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  1. Jihye Seo
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Correspondence to Jihye Seo.

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ArXiv ePrint: 1207.5782

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Seo, J. Exactly stable non-BPS spinors in heterotic string theory on tori. J. High Energ. Phys. 2013, 51 (2013). https://doi.org/10.1007/JHEP01(2013)051

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