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Quaternion-Octonion Analyticity for Abelian and Non-Abelian Gauge Theories of Dyons |
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| Authors: | P. S. Bisht O. P. S. Negi |
| Affiliation: | (1) Department of Physics, Kumaun University, S. S. J. Campus, Almora, 263601, (Uttarakhand), India;(2) Institute of Theoretical Physics, Chinese Academy of Sciences, KITP Building Room No. 6304, Hai Dian Qu Zhong Guan Chun Dong Lu 55 Hao, Beijing, 100080, People’s Republic of China;(3) Present address: Department of Physics, Kumaun University, S. S. J. Campus, Almora, 263601, (Uttarakhand), India |
| Abstract: | Einstein-Schrödinger (ES) non-symmetric theory has been extended to accommodate the Abelian and non-Abelian gauge theories of dyons in terms of the quaternion-octonion metric realization. Corresponding covariant derivatives for complex, quaternion and octonion spaces in internal gauge groups are shown to describe the consistent field equations and generalized Dirac equation of dyons. It is also shown that quaternion and octonion representations extend the so-called unified theory of gravitation and electromagnetism to the Yang-Mill’s fields leading to two SU(2) gauge theories of internal spaces due to the presence of electric and magnetic charges on dyons. |
| Keywords: | Non-symmetric Quaternion Octonion Monopole Dyons and Gauge theories |
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