Bootstrapping mixed correlators in 4D N = 1 SCFTs
Abstract
The numerical conformal bootstrap is used to study mixed correlators in N = 1 superconformal field theories (SCFTs) in d = 4 spacetime dimensions. Systems of fourpoint 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 N = 1 SCFTs with chiral operators are presented. At the level of precision used, the conditions under which the putative "minimal" 4D 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 N = 1 SCFT.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- July 2017
- DOI:
- 10.1007/JHEP07(2017)029
- arXiv:
- arXiv:1702.00404
- Bibcode:
- 2017JHEP...07..029L
- Keywords:
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- Conformal and W Symmetry;
- Conformal Field Theory;
- Supersymmetry and Duality;
- High Energy Physics - Theory
- E-Print:
- 33 pages, 12 figures