Heterotic compactifications on nearly Kähler manifolds

2010/07/01 by Olaf Lechtenfeld, Christoph Nölle, Alexander D. Popov · 1 citation
Physics and Astronomy · Mathematics · #hep-th #math-ph #math.MP

paper · pdf · doi:10.1007/jhep09(2010)074

published as JHEP 1009:074,2010 · 1+16 pages

arxiv created 2010/07/01 · arxiv updated 2014/11/21

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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