| Article | |
| Report number | arXiv:1804.09717 ; CERN-TH-2018-096 |
| Title | R-current three-point functions in 4d $\mathcal{N}=1$ superconformal theories |
| Author(s) | Manenti, Andrea (Ecole Polytechnique, Lausanne) ; Stergiou, Andreas (CERN) ; Vichi, Alessandro (Ecole Polytechnique, Lausanne) |
| Publication | 2018-12-18 |
| Imprint | 2018-04-25 |
| Number of pages | 39 |
| Note | 39 pages. Ancillary Mathematica file with summary of results included with submission. v2: Typos fixed, references added, minor corrections/additions |
| In: | JHEP 12 (2018) 108 |
| DOI | 10.1007/JHEP12(2018)108 |
| Subject category | hep-th ; Particle Physics - Theory |
| Abstract | In 4d $\mathcal{N}=1$ superconformal field theories (SCFTs) the R-symmetry current, the stress-energy tensor, and the supersymmetry currents are grouped into a single object, the Ferrara-Zumino multiplet. In this work we study the most general form of three-point functions involving two Ferrara-Zumino multiplets and a third generic multiplet. We solve the constraints imposed by conservation in superspace and show that non-trivial solutions can only be found if the third multiplet is R-neutral and transforms in suitable Lorentz representations. In the process we give a prescription for counting independent tensor structures in superconformal three-point functions. Finally, we set the Grassmann coordinates of the Ferrara-Zumino multiplets to zero and extract all three-point functions involving two R-currents and a third conformal primary. Our results pave the way for bootstrapping the correlation function of four R-currents in 4d $\mathcal{N}=1$ SCFTs. |
| Copyright/License | publication: (License: CC-BY-4.0) preprint: (License: arXiv nonexclusive-distrib 1.0) |
Corresponding record in: Inspire
Element opprettet 2018-04-27, sist endret 2023-10-04