TY - JOUR

T1 - On RG flow of τ RR for supersymmetric field theories in three-dimensions

AU - Nishioka, Tatsuma

AU - Yonekura, Kazuya

N1 - Copyright:
Copyright 2013 Elsevier B.V., All rights reserved.

PY - 2013

Y1 - 2013

N2 - The coefficient τ RR of the two-point function of the superconformal U(1) R currents of N=2 SCFTs in three-dimensions is recently shown to be obtained by differentiating the partition function on a squashed three-sphere with respect to the squashing parameter. With this method, we compute the τ RR for N=2 Wess-Zumino models and SQCD numerically for small number of flavors and analytically in the large number limit. We study the behavior of τ RR under an RG flow by adding superpotentials to the theories. While the τ RR decreases for the gauge theories, we find an N=2 Wess-Zumino model whose τ RR increases along the RG flow. Since τ RR is proportional to the coefficient C T of the two-point correlation function of the stress-energy tensors for N=2 superconformal field theories, this rules out the possibility of C T being a measure of the degrees of freedom which monotonically decreases along RG flows in three-dimensions.

AB - The coefficient τ RR of the two-point function of the superconformal U(1) R currents of N=2 SCFTs in three-dimensions is recently shown to be obtained by differentiating the partition function on a squashed three-sphere with respect to the squashing parameter. With this method, we compute the τ RR for N=2 Wess-Zumino models and SQCD numerically for small number of flavors and analytically in the large number limit. We study the behavior of τ RR under an RG flow by adding superpotentials to the theories. While the τ RR decreases for the gauge theories, we find an N=2 Wess-Zumino model whose τ RR increases along the RG flow. Since τ RR is proportional to the coefficient C T of the two-point correlation function of the stress-energy tensors for N=2 superconformal field theories, this rules out the possibility of C T being a measure of the degrees of freedom which monotonically decreases along RG flows in three-dimensions.

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U2 - 10.1007/JHEP05(2013)165

DO - 10.1007/JHEP05(2013)165

M3 - Article

AN - SCOPUS:84878922894

VL - 2013

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 5

M1 - 165

ER -