Classification of the vacua of the dimensionally reduced low-energy limit of the heterotic string over nearly-K\"ahler manifolds

G. Manolakos; G. Patellis; G. Zoupanos

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arXiv · 2211.13836

Classification of the vacua of the dimensionally reduced low-energy limit of the heterotic string over nearly-K\"ahler manifolds

G. Manolakos·G. Patellis·G. Zoupanos

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Abstract

We examine the vacua of the scalar potential of the effective 4-d action, obtained after the dimensional reduction of the 10-d $\mathcal{N}=1$ heterotic supergravity coupled to an $\mathcal{N}=1$ Yang-Mills sector. The (Coset Space) dimensional reduction takes place over the three 6-d nearly-K\"ahler manifolds, namely the homogeneous 6-d non-symmetric coset spaces, $G_2/SU(3)$, $Sp_4/SU(2)\times U(1)$ and $SU(3)/U(1)\times U(1)$. The current work consists a complete catalogue of the kinds of vacua of theories obtained after the reduction of the heterotic string over the 6-d non-symmetric coset spaces and, moreover, a contribution to the dialogue of the possibility to result with non-AdS vacua in the framework of string theories.

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G. Manolakos, G. Patellis, G. Zoupanos. 2022-11-25. Classification of the vacua of the dimensionally reduced low-energy limit of the heterotic string over nearly-K\"ahler manifolds. https://arxiv.org/abs/2211.13836

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