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We study the Z_N flux tubes and monopole confinement in deformed N=2* superYang-Mills theories. In order to do that we consider an N=4 super Yang-Millstheory with an arbitrary gauge group G and add some N=2, N=1 and N=0deformation terms. We analyze some possible vacuum solutions and phases of thetheory, depending on the deformation terms which are added. In the Coulombphase for the N=2* theory, G is broken to U(1)^r and the theory has monopolesolutions. Then, by adding some deformation terms, the theory passes to theHiggs or color superconducting phase, in which G is broken to its center C_G.In this phase we construct the Z_N flux tubes ansatz and obtain the BPS stringtension. We show that the monopole magnetic fluxes are linear integercombinations of the string fluxes and therefore the monopoles can becomeconfined. Then, we obtain a bound for the threshold length of thestring-breaking. We also show the possible formation of a confining system with3 different monopoles for the SU(3) gauge group. Finally we show that the BPSstring tensions of the theory satisfy the Casimir scaling law.Comment: 18 pages, 2 figures, typo corrections. Version to appear in Phys.  Rev.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Color superconductivity,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>Z</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>flux tubes, and monopole confinement in deformed<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">N</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mn /></mml:mrow><mml:mrow><mml:mi…

Color superconductivity,ZNflux tubes, and monopole confinement in deformedN=2