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Published Articles | |
Report number | arXiv:1702.00404 ; CERN-TH-2017-024 |
Title | Bootstrapping Mixed Correlators in 4D $\mathcal{N}=1$ SCFTs |
Related title | Bootstrapping Mixed Correlators in 4D $\mathcal{N}=1$ SCFTs |
Author(s) | Li, Daliang (Johns Hopkins U.) ; Meltzer, David (Yale U.) ; Stergiou, Andreas (Yale U. ; CERN) |
Publication | 2017-07-07 |
Imprint | 2017-02-01 |
Number of pages | 32 |
Note | 33 pages, 12 figures; v2: Some typos fixed |
In: | JHEP 07 (2017) 029 |
DOI | 10.1007/JHEP07(2017)029 |
Subject category | hep-th ; Particle Physics - Theory |
Abstract | The numerical conformal bootstrap is used to study mixed correlators in $\mathcal{N}=1$ superconformal field theories (SCFTs) in $d=4$ spacetime dimensions. Systems of four-point functions involving scalar chiral and real operators are analyzed, including the case where the scalar real operator is the zero component of a global conserved current multiplet. New results on superconformal blocks as well as universal constraints on the space of 4D $\mathcal{N}=1$ SCFTs with chiral operators are presented. At the level of precision used, the conditions under which the putative "minimal" 4D $\mathcal{N}=1$ SCFT may be isolated into a disconnected allowed region remain elusive. Nevertheless, new features of the bounds are found that provide further evidence for the presence of a special solution to crossing symmetry corresponding to the "minimal" 4D $\mathcal{N}=1$ SCFT. |
Copyright/License | arXiv nonexclusive-distrib. 1.0 Preprint: © 2016-2024 CERN (License: CC-BY-4.0) |