On the configuration of classical Yang-Mills fields with topological charge k = 4
Tóm tắt
The solutions of the nonlinear matrix equation in the Atiyah-Hitchin-Drifeld-Manin (AHDM) construction that determine the Yang-Mills self-dual fields with topological charge k = 4 for symplectic gauge groups are discussed. In the case of Sp(n), n > 2, it is possible to use a procedure that was proposed earlier for generating solutions with k = 3. It is shown that for SU(2) = Sp(1) the AHDM matrix can be generated by using cubic equation solutions with coefficients that depend on 8k — 3 parameters.
Tài liệu tham khảo
M. P. Atiyah, N. J. Hitchin, V. G. Drinfeld, et al., Phys. Lett. A 65, 185 (1978).
E. Corrigan, Phys. Rep. 49, 95 (1979).
N. Christ, E. J. Weinberg, and N. K. Stanton, Phys. Rev. D 18, 2013 (1976).
L. S. Brown, R. D. Carlitz, D. B. Creamer, et al., Phys. Rev. D 17, 1583 (1978).
B. Berg and M. Lusher, Nucl. Phys. B 160, 281 (1979); A. A. Belavin, V. A. Pateev, A. S. Schwarz, et al., Phys. Lett. B 83, 317 (1979).
R. Jackiw, C. Nohl, and C. Rebbi, Phys. Rev. D 15, 1642 (1979).