## Abstract

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 language | English |
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Article number | 165 |

Journal | Journal of High Energy Physics |

Volume | 2013 |

Issue number | 5 |

DOIs | |

Publication status | Published - 2013 |

Externally published | Yes |

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

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