# BPS equations and non-trivial compactifications

@article{Tyukov2017BPSEA,
title={BPS equations and non-trivial compactifications},
author={Alexander Tyukov and Nicholas P. Warner},
journal={Journal of High Energy Physics},
year={2017},
volume={2018},
pages={1-32}
}
• Published 17 October 2017
• Mathematics
• Journal of High Energy Physics
A bstractWe consider the problem of finding exact, eleven-dimensional, BPS supergravity solutions in which the compactification involves a non-trivial Calabi-Yau manifold, Y$$\mathcal{Y}$$, as opposed to simply a T6. Since there are no explicitly-known metrics on non-trivial, compact Calabi-Yau manifolds, we use a non-compact “local model” and take the compactification manifold to be Y=ℳGH×T2$$\mathcal{Y}={\mathrm{\mathcal{M}}}_{\mathrm{GH}}\times {T}^2$$, where ℳGH is a hyper-Kähler…
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