BPS States and Vacuum Manifold of SU_q(n) Georgi-Glashow Model
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We construct the Georgi-Glashow Lagrangian for gauge group SU_q(n). Breaking this symmetry spontaneously gives q-dependent masses of gauge field and vacuum manifold. It turned out that the vacuum manifold is parameterized by the non-commutative quantities. We showed that the monopole solutions exist in this model, which is indicated by the presence of the BPS states.
19 pages, no figure, typos corrected
19 pages, no figure, typos corrected