Monopole and Dyon Spectra in N=2 SYM with Higher Rank Gauge Groups

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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24 pages, plain tex, 6 figures. uuencoded compressed tar file. Three references added

Scientific paper

We derive parts of the monopole and dyon spectra for N=2 super-Yang--Mills theories in four dimensions with gauge groups G of rank r>1 and matter multiplets. Special emphasis is put on G=SU(3) and those matter contents that yield perturbatively finite theories. There is no direct interpretation of the soliton spectra in terms of naive selfduality under strong--weak coupling and exchange of electric and magnetic charges. We argue that, in general, the standard procedure of finding the dyon spectrum will not give results that support a conventional selfduality hypothesis --- the SU(2) theory with four fundamental hypermultiplets seems to be an exception. Possible interpretations of the results are discussed.

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