Cancellation of UV Divergences in the N=4 SUSY Nonlinear Sigma Model in Three Dimensions

Abstract

We study the UV properties of the three-dimensional $\mathcal{N}=4$ SUSY nonlinear sigma model whose target space is $T^{\ast }(C{P}^{N-1})$ (the cotangent bundle of $C{P}^{N-1}$) to higher orders in the 1/N expansion. We calculate the $\beta$-function to next-to-leading order and verify that it has no quantum corrections at leading and next-to-leading orders.

10 pages, 2 figures. references added