On Folding Calabi-Yau Diagrams in M-theory Black Brane Scenarios

Adil Belhaj; Abderrahim Bouhouch

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arXiv · 2505.12948

On Folding Calabi-Yau Diagrams in M-theory Black Brane Scenarios

Adil Belhaj·Abderrahim Bouhouch

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Abstract

In this paper, we reconsider the study of five-dimensional supersymmetric black branes in the context of the M-theory compactification on a special Calabi-Yau manifold called tetra-quadric, being realized as complete intersections of homogenous polynomials in the projective space $ \mathbb{CP}^{1}\times\mathbb{CP}^{1}\times\mathbb{CP}^{1}\times\mathbb{CP}^{1}$. Combining colored graph theory and outer-automorphism group action techniques, we approach the tetra-quadric Calabi-Yau diagram leading to new features. Using a procedure referred to as folding, we show that M-theory black branes on the tetra-quadric Calabi-Yau manifold can be reduced to known compactifications with lower dimensional K\"{a}hler moduli spaces.

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Adil Belhaj, Abderrahim Bouhouch. 2025-05-19. On Folding Calabi-Yau Diagrams in M-theory Black Brane Scenarios. https://arxiv.org/abs/2505.12948

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