The structure of theW
∞ algebra |
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Authors: | I Bakas |
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Institution: | (1) Department of Mathematics, McGill University, Burnside Hall, 805 Sherbrooke St. W., H3A 2K6 Montréal, Québec, Canada;(2) Department of Mathematics, R.S.Phys.S., The Australian National University, GPO Box 4, 2601 Canberra, ACT, Australia |
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Abstract: | A new definition of spectral data of a monopole is given for any compact Lie or Kac-Moody group. It is shown that the spectral data determines the irreducible monopole. In the case of maximal symmetry breaking the spectral data is shown to reduce to an earlier definition in terms of algebraic curves indexed by the nodes of the Dynkin diagram of the group. The structure of solutions to Nahm's equations corresponding to the monopole is discussed.Research supported in part by NSER C grant A8361 and FCAR grant EQ3518 |
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