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The main focus of this work is to test the ideas related to the obliqueconfinement in a theoretically controllable manner using the "deformed QCD" asa toy model. We explicitly show that the oblique confinement in the weaklycoupled gauge theories emerges as a result of condensation of $N$ types ofmonopoles shifted by the phase $\exp(i\frac{\theta+2\pi m}{N})$ in Bloch typeconstruction. It should be contrasted with conventional and commonly acceptedviewpoint that the confinement at $\theta\neq 0$ is due to the condensation ofthe electrically charged dyons which indeed normally emerge in the systems with$\theta\neq 0$ as a result of Witten's effect. We explain the basic reason whythe "dyon" mechanism does not materialize-- it is because the Witten's effectholds for a static magnetic monopole treated as an external source. It shouldbe contrasted with our case when $N$- types of monopoles are not static, butrather the dynamical degrees of freedom which fluctuate and themselvesdetermine the ground state of the system.

Oblique Confinement at $\theta\neq 0$ in weakly coupled gauge theories with deformations