2014/07/31 by Daliang Li, Andreas Stergiou · 20 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Central charge #Computation #Conformal map #Dimension (graph theory) #Lorentz transformation #Multiplet #Particle physics theoretical and experimental studies #Scaling #Superconformal algebra #Unitarity #hep-th
paper · pdf · doi:10.1007/jhep10(2014)037
published in Journal of High Energy Physics 2014(10) (Springer Nature) · 22 pages, 1 figure. v2: Minor corrections. v3: Fixed typo in eq. (4.19). v4: Fixed typos. v5: Fixed more typos
openalex publication_date 2014/10/01 · openalex created_date 2016/06/24 · arxiv created 2018/03/07 · arxiv updated 2018/03/08 · openalex updated_date 2026/08/05
In N =1 superconformal theories in four dimensions the form of two-point functions of superconformal multiplets is known up to an overall constant. A superconformal multiplet contains several conformal primary operators, whose two-point function coefficients can be determined in terms of the multiplet’s quantum numbers. In this paper we work out these coefficients in full generality, i.e. for superconformal multiplets that belong to any irreducible representation of the Lorentz group with arbitrary scaling dimension and R- charge. From our results we recover the known unitarity bounds, and also find all shortening conditions, even in non-unitary theories. For the purposes of our computations we have developed a Mathematica package for the efficient handling of expansions in Grassmann variables.