Self-duality in Dimensions 2n>4: Equivalence of Various Definitions, and an Upper Bound for p₂

1996/04/11 by Ayşe Hümeyra Bilge, Bilge, Ayse Humeyra
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.dg-ga/9604002

openalex publication_date 1996/04/11 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

We show that the self-duality defined in [Trautman, Int.J.Theor.Phys.,\bf 16,561 (1977)] is equivalent to strong self-duality defined in [Bilge, Dereli and Kocak, Lett.Math.Phys., \bf 36, 301-309, (1996)] and we obtain an upper bound on ∫ (p₂)ⁿ, where p₂ is the second Pontrjagin class of an SO(N) bundle over a 8n dimensional manifold.

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