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

2025/05/19 by Adil Belhaj, Belhaj, Adil, Abderrahim Bouhouch +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.2505.12948

openalex publication_date 2025/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 \mathbbCP1×\mathbbCP1×\mathbbCP1×\mathbbCP1. 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 Kähler moduli spaces.

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