Perturbative aspects of heterotically deformed CP(N-1) sigma model

In this paper we begin the study of renormalizations in the heterotically deformed N=(0,2) CP(N-1) sigma models. In addition to the coupling constant g2 of the undeformed N=(2,2) model, there is the second coupling constant γ describing the strength of the heterotic deformation. We calculate both β functions, β_g and β_γ at one loop, determining the flow of g2 and γ. Under a certain choice of the initial conditions, the theory is asymptotically free. The β function for the ratio ρ=γ2/g2 exhibits an infrared fixed point at ρ=1/2. Formally this fixed point lies outside the validity of the one-loop approximation. We argue, however, that the fixed point at ρ=1/2 may survive to all orders. The reason is the enhancement of symmetry-emergence of a chiral fermion flavor symmetry in the heterotically deformed Lagrangian-at ρ=1/2. Next we argue that β_ρ formally obtained at one loop, is exact to all orders in the large-N (planar) approximation. Thus, the fixed point at ρ=1/2 is definitely the feature of the model in the large-N limit.