Large-N solution of the heterotic CP(N-1) model with twisted masses

We address a number of unanswered questions in the N = (0, 2)-deformed CP(N - 1) model with twisted masses. In particular, we complete the program of solving the CP(N - 1) model with twisted masses in the large-N limit. In A. Gorsky, M. Shifman, and A. Yung, Phys. Rev. D 73, 065011 (2006), a nonsupersymmetric version of the model with the Z(N) symmetric twisted masses was analyzed in the framework of Witten's method. In M. Shifman and A. Yung, Phys. Rev. D 77, 125017 (2008), this analysis was extended: the large-N solution of the heterotic N(0, 2) CP(N - 1) model with no twisted masses was found. Here we solve this model with the twisted masses switched on. Dynamical scenarios at large and small m are studied (m is the twisted-mass scale). We found three distinct phases and two phase transitions on the m plane. Two phases with the spontaneously broken Z(N) symmetry are separated by a phase with unbroken Z(N). This latter phase is characterized by a unique vacuum and confinement of all U (1) charged fields ("quarks''). In the broken phases (one of them is at strong coupling) there are N degenerate vacua and no confinement, similarly to the situation in the N(2, 2) model. Supersymmetry is spontaneously broken everywhere except a circle |m| = Lambda in the Z(N)-unbroken phase. Related issues are considered. In particular, we discuss the mirror representation for the heterotic model in a certain limiting case.