Classical solution in sixdimensional gauge theory with higher derivative coupling
Abstract
We show that the spin connection of the standard metric on a sixdimensional sphere gives an exact solution to the generalized selfduality equations suggested by Tchrakian some years ago. We work on a SO(6) gauge theory with a higherderivative coupling term. The model consists of vector fields only. The pseudoenergy is bounded from below by a topological charge, which is proportional to the winding number of spatial S^{5} around the internal space SO(6). The fifth homotopy group of SO(6) is, indeed, Z. The coupling constant of the higher derivative term is quadratic in the radius of the underlying space S^{6}.
 Publication:

Physical Review D
 Pub Date:
 February 2008
 DOI:
 10.1103/PhysRevD.77.047702
 arXiv:
 arXiv:hepth/0703166
 Bibcode:
 2008PhRvD..77d7702K
 Keywords:

 11.10.Kk;
 05.45.Yv;
 11.15.Kc;
 11.27.+d;
 Field theories in dimensions other than four;
 Solitons;
 Classical and semiclassical techniques;
 Extended classical solutions;
 cosmic strings domain walls texture;
 High Energy Physics  Theory
 EPrint:
 7 pages, comments and a reference added, typos corrected