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

Pavel A. Bolokhov, Mikhail Shifman, Alexei Yung

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


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.

Original languageEnglish (US)
Article number025011
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number2
StatePublished - Jul 19 2010


Dive into the research topics of 'Large-N solution of the heterotic CP(N-1) model with twisted masses'. Together they form a unique fingerprint.

Cite this