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

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

1995-08-31

arxiv.org/abs/hep-th/9508176v1

Nucl.Phys. B454 (1995) 103-126

Physics

High Energy Physics

High Energy Physics - Theory

24 pages latex, 2 uuencoded figures and 2 uuencoded tables

Scientific paper

10.1016/0550-3213(95)00428-U

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 \beta^\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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