English

Self-duality in Dimensions $2n>4$: Equivalence of Various Definitions, and an Upper Bound for $p_2$

dg-ga 2008-02-03 v1 High Energy Physics - Theory Differential Geometry

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\int (p_2)^{n}, where p2p_2 is the second Pontrjagin class of an SO(N)SO(N) bundle over a 8n8n dimensional manifold.

Keywords

Cite

@article{arxiv.dg-ga/9604002,
  title  = {Self-duality in Dimensions $2n>4$: Equivalence of Various Definitions, and an Upper Bound for $p_2$},
  author = {Ayse Humeyra Bilge},
  journal= {arXiv preprint arXiv:dg-ga/9604002},
  year   = {2008}
}

Comments

9 pages