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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, 2 figures. references added

Scientific paper

10.1142/S021773230100500X

We study the UV properties of the three-dimensional ${\cal N}=4$ SUSY
nonlinear sigma model whose target space is $T^*(CP^{N-1})$ (the cotangent
bundle of $CP^{N-1}$) 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.

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