Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-05-14
JHEP 0909:077,2009
Physics
High Energy Physics
High Energy Physics - Theory
version published in JHEP, minor corrections, added references
Scientific paper
10.1088/1126-6708/2009/09/077
Our aim is to derive the effective action in four dimensions resulting by reducing dimensionally the ten-dimensional ${\cal N}=1$ heterotic supergravity coupled to ${\cal N}=1$ super Yang-Mills over manifolds admitting a nearly-K\"{a}hler structure. Given the fact that all six-dimensional nearly-K\"{a}hler manifolds are included in the class of the corresponding non-symmetric coset spaces plus a group manifold, our procedure amounts in applying the Coset Space Dimensional Reduction scheme using these coset spaces as internal manifolds. In our examination firstly the rules of the reduction of the theory over a general six-dimensional non-symmetric manifold are stated and subsequently a detailed case by case analysis is performed for all the three non-symmetric coset spaces. For each case the four-dimensional scalar potential is derived and the corresponding nearly-K\"{a}hler limit is obtained. Finally, we determine the corresponding supergravity description of the four-dimensional theory employing the heterotic Gukov-Vafa-Witten formula and results of the special K\"{a}hler geometry.
Chatzistavrakidis Athanasios
Zoupanos George
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