Condensates of interacting non-Abelian SO(5) Nf anyons

Abstract

Abstract Starting from a one-dimensional model of relativistic fermions with SO(5) spin and U(N f ) flavour degrees of freedom we study the condensation of SO(5)N f anyons. In the low-energy limit the quasi-particles in the spin sector of this model are found to be massive solitons forming multiplets in the SO(5) vector or spinor representations. The solitons carry internal degrees of freedom which are identified as SO(5)N f anyons. By controlling the external magnetic fields the transitions from a dilute gas of free anyons to various collective states of interacting ones are observed. We identify the generalized parafermionic cosets describing these collective states and propose a low temperature phase diagram for the anyonic modes.

Keywords

• Bethe Ansatz
• Conformal Field Theory
• Integrable Field Theories
• Anyons