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Softly Broken MQCD and the Theta Angle
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We consider a family of non-supersymmetric MQCD five-brane configurations introduced by Witten, and discuss the dependence of the curves on the microscopic theta angle and its relation with CP. We find evidence for a non-trivial spectral flow of the curves (vacua) and for the level-crossing of adjacent curves at a particular value of the theta angle, with spontaneous breaking of CP symmetry, providing an MQCD analogue of the phase transitions in theta proposed by 't Hooft.
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Phase Transitions at Unusual Values of $\theta$
Using Seiberg-Witten theory plus anomaly mediation, the authors find first-order phase transitions in the theta-dependent vacuum energy at theta = pi (N_F=0), 0 and pi (N_F=1), pi/2 and 3pi/2 (N_F=2), and pi/4, 3pi/4,...
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