IJPAM: Volume 52, No. 5 (2009)
SIX DIMENSIONAL SPHERE WITH A




Kampüsü Bolu
Abant Izzet Baysal University
Gölköy, 14280, TURKEY
e-mail: hunkar_k@ibu.edu.tr

Kampüsü Bolu
Abant Izzet Baysal University
Gölköy, 14280, TURKEY
e-mail: cenap@ibu.edu.tr
Abstract.We consider the Dirac operator on a six dimensional sphere with
gravitational and Yang-Mills gauge fields. Here we calculate the
Atiyah-Singer index of Dirac operator on a six dimensional sphere
with a -gauge theory. Moreover, we take the vector field
as to be Hedgehog-connection which gives an appropriate result for
the field strength and therefore the topological charge.
Received: May 12, 2009
AMS Subject Classification: 53C07, 53Z05, 57R56, 57R20, 58J20
Key Words and Phrases: Atiyah-Singer index, Dirac operator, anomaly, topological charge, Yang-Mills fields, gravitational fields, Hedgehog connection
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 52
Issue: 5