TY - JOUR

T1 - Large-N solution of the heterotic CP(N-1) model with twisted masses

AU - Bolokhov, Pavel A.

AU - Shifman, Mikhail

AU - Yung, Alexei

PY - 2010/7/19

Y1 - 2010/7/19

N2 - 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. DPRVDAQ1550-7998 73, 065011 (2006)10.1103/PhysRevD.73.065011, a nonsupersymmetric version of the model with the ZN symmetric twisted masses was analyzed in the framework of Witten's method. In M. Shifman and A. Yung, Phys. Rev. DPRVDAQ1550-7998 77, 125017 (2008)10.1103/PhysRevD.77.125017, 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 ZN symmetry are separated by a phase with unbroken ZN. 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|=Λ in the ZN-unbroken phase. Related issues are considered. In particular, we discuss the mirror representation for the heterotic model in a certain limiting case.

AB - 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. DPRVDAQ1550-7998 73, 065011 (2006)10.1103/PhysRevD.73.065011, a nonsupersymmetric version of the model with the ZN symmetric twisted masses was analyzed in the framework of Witten's method. In M. Shifman and A. Yung, Phys. Rev. DPRVDAQ1550-7998 77, 125017 (2008)10.1103/PhysRevD.77.125017, 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 ZN symmetry are separated by a phase with unbroken ZN. 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|=Λ in the ZN-unbroken phase. Related issues are considered. In particular, we discuss the mirror representation for the heterotic model in a certain limiting case.

UR - http://www.scopus.com/inward/record.url?scp=77955614032&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77955614032&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.82.025011

DO - 10.1103/PhysRevD.82.025011

M3 - Article

AN - SCOPUS:77955614032

VL - 82

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 2

M1 - 025011

ER -