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Heterotic compactifications on nearly Kähler manifolds

✍ Scribed by Olaf Lechtenfeld; Christoph Nölle; Alexander D. Popov


Publisher
Springer-Verlag
Year
2010
Tongue
English
Weight
330 KB
Volume
2010
Category
Article
ISSN
1126-6708

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## Abstract We study the dimensional reduction of the 𝒩 = 1, ten‐dimensional Heterotic Supergravity to four dimensions, at leading order in α', when the internal space is a nearly‐Kähler manifold. Nearly‐Kähler manifolds in six dimensions are all the non‐symmetric coset spaces and a group manifold.

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## Abstract The effective action in four dimensions resulting from the ten‐dimensional 𝒩 = 1 heterotic supergravity coupled to 𝒩 = 1 supersymmetric Yang‐Mills upon dimensional reduction over nearly‐Kähler manifolds is discussed. Nearly‐Kähler manifolds are an interesting class of manifolds admittin