2017/02/28 by Daliang Li, David Meltzer, David O. Meltzer +1 · 4 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Conformal map #Cosmology and Gravitation Theories #Field (mathematics) #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Multiplet #Operator (biology) #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scalar (mathematics) #Scalar field #Space (punctuation) #Spacetime #Symmetry (geometry) #hep-th
paper · pdf · doi:10.1007/jhep07(2017)029
33 pages, 12 figures; v2: Some typos fixed
arxiv created 2017/06/26 · openalex publication_date 2017/07/01 · arxiv updated 2017/08/02 · openalex created_date 2020/07/29 · openalex updated_date 2026/08/05
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.