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Reducing the heterotic supergravity on nearly-Kähler coset spaces

✍ Scribed by A. Chatzistavrakidis; P. Manousselis; G. Zoupanos

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
163 KB
Volume
57
Category
Article
ISSN
0015-8208

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✦ Synopsis

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. Here we reduce the theory using as internal manifolds the three six‐dimensional non‐symmetric coset spaces, omitting the case of the group manifold in the prospect of obtaining chiral fermions when the gauge fields will be included. We determine the effective actions for these cases, which turn out to describe 𝒩 = 1 four‐dimensional supergravities of the no‐scale type and we study the various possibilities concerning their vacuum.

📜 SIMILAR VOLUMES

Nearly-Kähler dimensional reduction of t
Nearly-Kähler dimensional reduction of the heterotic string
✍ A. Chatzistavrakidis; G. Zoupanos 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 145 KB

## 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