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Report number arXiv:1702.00404 ; CERN-TH-2017-024
Title Bootstrapping Mixed Correlators in 4D $\mathcal{N}=1$ SCFTs
Related titleBootstrapping 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)



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 Záznam vytvorený 2017-02-10, zmenený 2023-10-04


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