Superselection, boundary algebras, and duality in gauge theories

HIGHLIGHTS

SUMMARY

    Unlike the case of the gauge group G(U(1)) of QED, the gauge group G(SU(3)) of, say, QCD, is non-Abelian. The authors will see that superselection sectors will be labeled, at least partially, from a maximal Abelian algebra or a complete commuting set (CCS) taken from CG(G), the group algebra of G(G). Its elements measure moments of the magnetic_field at infinity so that the full superselection group becomes a Drinfel`d double. Because of the extended algebra, Chern-Simons modified gauge theories have to be dealt with as . . .

     

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