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On the N = 2 supersymmetric CP(N) sigma model and Chern Simons terms

Massimiliano Ciuchini·J. A. Gracey
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Abstract

We use the large $N$ self consistency method to compute the critical exponents of the fields and coupling of the supersymmetric CP(N) sigma model at leading order in $1/N$ in various dimensions. We verify that the correction to the critical beta-function slope vanishes at O(1/N) which is consistent with supersymmetry. The three dimensional model is investigated explicitly when a Chern Simons term is included supersymmetrically. We determine the modification that this has on the gauge independent quantity β^\prime(g_c) as a function of the Chern Simons coupling, \vartheta. For an N = 2 supersymmetric Chern Simons term the exponent is independent of \vartheta at O(1/N), whilst it is invariant under \vartheta \rightarrow 1/\vartheta when an N = 1 supersymmetric Chern Simons term is included.

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Massimiliano Ciuchini, J. A. Gracey. 1995-08-31. On the N = 2 supersymmetric CP(N) sigma model and Chern Simons terms. https://doi.org/10.1016/0550-3213(95)00428-u

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