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Deep insights into the possible infrared dynamics of strongly-couplednonAbelian gauge theories such as QCD come from the analyses of ${\cal N}=1$ or${\cal N}=2$ supersymmetric gauge theories. Central in the whole discussionwill be the topological soliton monopoles and vortices and their quantumdynamics. We review the arguments that nonAbelian monopoles, free from theclassic "difficulties", can be defined semi-classically via the topology andstability connection to the better understood nonAbelian vortices. Recentresults on $CP^{N-1}$ models on $2D$ worldsheet of finite width, establish thequantum mechanical nature of such nonAbelian monopoles. An interesting class ofRG flows and emergence of confining vacua "nearby" strongly-coupledinfrared-fixed point (IRFP) conformal theories are discussed in the context ofmost singular vacua in ${\cal N}=2$ supersymmetric QCD. Certain analogy withthe real-world QCD is drawn. In many systems, color-flavor locking emerges as acrucial mechanism for the gauge system to avoid dynamical Abelianization.

Confinement and XSB in QCD: Mysteries and beauty of soliton dynamics in nonAbelian gauge theories