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

Tatsuma Nishioka, Kazuya Yonekura

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40 Citations (Scopus)


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.

Original languageEnglish
Article number165
JournalJournal of High Energy Physics
Issue number5
Publication statusPublished - 2013
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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