Non-Abelian Vortices without Dynamical Abelianization
نویسندگان
چکیده
Vortices carrying truly non-Abelian flux moduli, which do not dynamically reduce to Abelian vortices, are found in the context of softly-broken N = 2 supersymmetric chromodynamics (SQCD). By tuning the bare quark masses appropriately we identify the vacuum in which the underlying SU(N) gauge group is partially broken to SU(n)×SU(r)×U(1)/ZK , where K is the least common multiple of (n, r), and with N su(n) f = n and N su(r) f = r flavors of light quark multiplets. At much lower energies the gauge group is broken completely by the squark VEVs, and vortices develop which carry non-Abelian flux moduli CP n−1×CP . For n > r we argue that the SU(n) fluctuations become strongly coupled and Abelianize, while leaving weakly fluctuating SU(r) flux moduli. This allows us to recognize the semi-classical origin of the light non-Abelian monopoles found earlier in the fully quantum-mechanical treatment of 4D SQCD.
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