Gauge potentials and bundles over the 4-torus
Article
Received:
Revised:
- 79 Downloads
- 6 Citations
Abstract
The construction of principal bundles over a four dimensional torus is considered. The class of groups considered is SU(n)/Z n , and for this class the Pontrjagin class has even integer values.
Keywords
Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Preview
Unable to display preview. Download preview PDF.
References
- 1.Ambjørn, J., Flyvbjerg, H.: 't Hooft's non-Abelian magnetic flux has zero classical energy. Phys. Lett.97B, 241 (1980); 't Hooft, G.: A property of electric and magnetic flux in non-Abelian gauge theories. Nucl. Phys.B153, 141 (1979); Physica Scripta24, 841 (1981): Acta Phys. Aust. Suppl.52, 531 (1980); Some twisted self-dual solutions for the Yang-Mills equations on a hypertorus. Commun. Math. Phys.81, 267 (1981)Google Scholar
- 2.Eguchi, T., Gilkey, P. B., Hanson, A. J.: Gravitation, gauge theories and differential geometry. Phys. Rep.66, 213 (1980); Husemdler, D.: Fibre bundles. Berlin-Heidelberg, New York: Springer 1975; Atiyah, M. F.: K-theory. New York: Benjamin Inc. 1967.Google Scholar
- 3.James, I., Thomas E.: J. Math. Mech.14, 485 (1965) (I am indebted to Professor I. James for this information.)Google Scholar
- 4.James, I.: Trans. Am. Math. Soc.84, 545 (1957)Google Scholar
- 5.'t Hooft, G.: Some twisted self-dual solutions for the Yang-Mills equations on a hypertorus. Commun. Math. Phys.81, 267 (1981)Google Scholar
- 6.Van Baal, P.: Utrecht preprintGoogle Scholar
Copyright information
© Springer-Verlag 1983