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

Journal Article · Thu Jul 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.025011· OSTI ID:21410155

Bolokhov, Pavel A ^[1]; Shifman, Mikhail ^[2]; Yung, Alexei ^[2]

---

1. Theoretical Physics Department, St. Petersburg State University, Ulyanovskaya 1, Peterhof, St. Petersburg, 198504 (Russian Federation)
2. William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455 (United States)

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{sub 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{sub N} symmetry are separated by a phase with unbroken Z{sub 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{sub N}-unbroken phase. Related issues are considered. In particular, we discuss the mirror representation for the heterotic model in a certain limiting case.

• OSTI ID: 21410155
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 2; Other Information: DOI: 10.1103/PhysRevD.82.025011; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CP INVARIANCE
MASS
MATHEMATICAL SOLUTIONS
PHASE TRANSFORMATIONS
QUARKS
SIMULATION
STRONG-COUPLING MODEL
SUPERSYMMETRY
SYMMETRY BREAKING
U-1 GROUPS
FERMIONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
SYMMETRY
SYMMETRY GROUPS
U GROUPS