15 citations · 83 across the 35 of their papers we have counts for
7 papers · 1 filter
Monopole equations on 8-manifolds with Spin(7) holonomy
A. H. Bilge, T. Dereli, S. Kocak
We construct a consistent set of monopole equations on eight-manifolds with Spin(7) holonomy. These equations are elliptic and admit non-trivial solutions including all the 4-dimen…
Seiberg-Witten Equations on R^8
A. H. Bilge, T. Dereli, S. Kocak
We show that there are no nontrivial solutions of the Seiberg-Witten equations on R^8 with constant standard spin^c structure.
The Geometry of Self-Dual Gauge Fields
A. H. Bilge, T. Dereli, Ş. Koçak
Self-dual 2-forms in D=2n dimensions are characterised by an eigenvalue criterion. The equivalence of various definitions of self-duality is proven. We show that the self-dual 2-fo…
The Geometry of Self-dual 2-forms
A. H. Bilge, T. Dereli, Ş. Koçak
We show that self-dual 2-forms in 2n dimensional spaces determine a dimensional manifold and the dimension of the maximal linear subspaces of ${\cal S}_{2…
On the Solution and Ellipticity Properties of the Self-duality equations of Corrigan et al in Eight Dimensions
Ayse Humeyra Bilge
We show that the two sets of self-dual Yang-Mills equations in 8-dimensions proposed in (E.Corrigan, C.Devchand, D.B.Fairlie and J.Nuyts, {\it Nuclear Physics} {\bf B214}, 452-464,…
Self-Dual Yang-Mills Fields in Eight Dimensions
A. H. Bilge, T. Dereli, S. Kocak
Strongly self-dual Yang-Mills fields in even dimensional spaces are characterised by a set of constraints on the eigenvalues of the Yang-Mills fields . We derive a topologi…
An Explicit Construction of Self-dual 2-forms in Eight Dimensions
Ayse Humeyra Bilge, Tekin Dereli, Sahin Kocak
The geometry of self-dual 2-forms in eight dimensions is studied. These 2-forms determine an dimensional manifold . We prove that for add , it has only…