Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 7, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP07(2017)029
Keywords
Conformal and W Symmetry; Conformal Field Theory; Supersymmetry and Duality
Categories
Funding
- National Science Foundation [1066293, 1350180]
- Direct For Mathematical & Physical Scien
- Division Of Physics [1350180] Funding Source: National Science Foundation
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The numerical conformal bootstrap is used to study mixed correlators in 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 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.
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