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arXiv · 1007.0236

Heterotic compactifications on nearly Kähler manifolds

Olaf Lechtenfeld·Christoph Nölle·Alexander D. Popov
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Abstract

We consider compactifications of heterotic supergravity on anti-de Sitter space, with a six-dimensional nearly K"ahler manifold as the internal space. Completing the model proposed by Frey and Lippert with the particular choice of SU(3)/U(1)xU(1) for the internal manifold, we show that it satisfies not only the supersymmetry constraints but also the equations of motion with string corrections of order alpha'. Furthermore, we present a non-supersymmetric model. In both solutions we find confirmed a recent result of Ivanov on the connection used for anomaly cancellation. Interestingly, the volume of the internal space is fixed by the supersymmetry constraints and/or the equations of motion.

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Olaf Lechtenfeld, Christoph Nölle, Alexander D. Popov. 2010-07-01. Heterotic compactifications on nearly Kähler manifolds. https://doi.org/10.1007/jhep09(2010)074

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