The Exact Superconformal R-symmetry Minimizes $τ_{RR}$
| dc.creator | Barnes, Edwin | |
| dc.creator | Gorbatov, Elie | |
| dc.creator | Intriligator, Ken | |
| dc.creator | Sudano, Matt | |
| dc.creator | Wright, Jason | |
| dc.date | 2005-07-14 | |
| dc.date | 2005-07-14 | |
| dc.date.accessioned | 2026-07-07T11:59:21Z | |
| dc.date.available | 2026-07-07T11:59:21Z | |
| dc.description | 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, $τ_{RR}$, 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, $τ_{RR}$ minimization gives an alternative to a-maximization. $τ_{RR}$ 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. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/0507137 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0507137 | |
| dc.identifier | Nucl.Phys.B730:210-222,2005 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2005.10.003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/206528 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Exact Superconformal R-symmetry Minimizes $τ_{RR}$ | |
| dc.type | text |