Spinor-Vector Duality in Heterotic SUSY Vacua

Abstract

We elaborate on the recently discovered spinor-vector duality in realistic free fermionic heterotic vacua. We emphasize the interpretation of the freely-acting orbifolds carried out on the six internal dimensions as coordinate-dependent compactifications; they play a central role in the duality, especially because of their ability to break the right-moving superconformal algebra of the space-time supersymmetric heterotic vacua. These considerations lead to a simple and intuitive proof of the spinor-vector duality, and to the formulation of explicit rules to find the dual of a given model. We discuss the interest of such a duality, notably concerning the structure of the space of vacua of superstring theory.

28 pages, 6 tables

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• Spinor-Vector Duality in Heterotic String Orbifolds
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• Constraint on Spinor-Vector Dualities in Six Dimensions
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• Uncovering a Spinor-Vector Duality on a Resolved Orbifold
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