The Exact Superconformal R-symmetry Minimizes $τ_{RR}$

Edwin Barnes; Elie Gorbatov; Ken Intriligator; Matt Sudano; Jason Wright

doi:10.1016/j.nuclphysb.2005.10.003

paper

The Exact Superconformal R-symmetry Minimizes $τ_{R R}$

arXiv:hep-th/0507137 · doi:10.1016/j.nuclphysb.2005.10.003

Abstract

We present a new, general constraint which, in principle, determines the superconformal $U (1)_{R}$ symmetry of 4d $N = 1$ SCFTs, and also 3d $N = 2$ SCFTs. Among all possibilities, the superconformal $U (1)_{R}$ is that which minimizes the coefficient, $τ_{R R}$ , of its two-point function. Equivalently, the superconformal $U (1)_{R}$ is the unique one with vanishing two-point function with every non-R flavor symmetry. For 4d $N = 1$ SCFTs, $τ_{R R}$ minimization gives an alternative to a-maximization. $τ_{R R}$ minimization also applies in 3d, where no condition for determining the superconformal $U (1)_{R}$ had been previously known. Unfortunately, this constraint seems impractical to implement for interacting field theories. But it can be readily implemented in the AdS geometry for SCFTs with AdS duals.

arXiv comment18 pages

The Exact Superconformal R-symmetry Minimizes $τ_{R R}$

Abstract

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The Exact Superconformal R-symmetry Minimizes τRR​

Abstract

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Cited by in corpus (41)

The Exact Superconformal R-symmetry Minimizes $τ_{R R}$