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Monopoles, duality and chiral symmetry breaking in $$N=2$$ supersymmetric QCD. (English) Zbl 1020.81911
Summary: We study four dimensional $$N = 2$$ supersymmetric gauge theories with matter multiplets. For all such models for which the gauge group is $$\text{SU}(2)$$, we derive the exact metric on the moduli space of quantum vacua and the exact spectrum of the stable massive states. A number of new physical phenomena occur, such as chiral symmetry breaking that is driven by the condensation of magnetic monopoles that carry global quantum numbers. For those cases in which conformal invariance is broken only by mass terms, the formalism automatically gives results that are invariant under electric-magnetic duality. In one instance, this duality is mixed in an interesting way with $$\text{SO}(8)$$ triality.

##### MSC:
 81T60 Supersymmetric field theories in quantum mechanics 81R40 Symmetry breaking in quantum theory 81T13 Yang-Mills and other gauge theories in quantum field theory 81V05 Strong interaction, including quantum chromodynamics
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