BPS States and Vacuum Manifold of SU_q(n) Georgi-Glashow Model

1999/07/14 by Freddy P. Zen, Bobby Eka Gunara, Zen, Freddy P. +6
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #hep-th #math-ph #math.MP #math.QA

paper · pdf · doi:10.48550/arxiv.hep-th/9907104

19 pages, no figure, typos corrected

openalex publication_date 1999/07/14 · arxiv created 1999/07/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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