BPS equations and non-trivial compactifications

  title={BPS equations and non-trivial compactifications},
  author={Alexander Tyukov and Nicholas P. Warner},
  journal={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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