Theta-functional solutions to the Bogomolny equation

Abstract:
We are developing the Nahm construction to solve Bogomolby equation for monopole of higher charges. By following Nahm we reduce the the Weyl equation written for 2n spinors to to matrix n-dimensional spectral on the interval [0,2] problem and solve the last one by method of Baker-Akhiezer function. The Higgs field and gauges are then expressed in terms of residues of the Baker-Akhiezer function at the boundaries of the interval.