2021/05/27 by Madalena Lemos, Balt C. van Rees, Xiang Zhao · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Conformal map #Function (biology) #Mathematical analysis #Mathematical physics #Mathematics #Multiplet #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Rank (graph theory) #Spin (aerodynamics) #Spins #Supersymmetry #Tensor (intrinsic definition) #Theoretical physics #hep-th
paper · pdf · doi:10.1007/jhep01(2022)022
60 pages, 11 figures
arxiv created 2021/05/27 · openalex created_date 2021/06/22 · openalex publication_date 2022/01/01 · arxiv updated 2022/01/26 · openalex updated_date 2026/08/05
A bstract We investigate the structure of conformal Regge trajectories for the maximally supersymmetric (2 , 0) theories in six dimensions. The different conformal multiplets in a single superconformal multiplet must all have similarly-shaped Regge trajectories. We show that these super-descendant trajectories interact in interesting ways, leading to new constraints on their shape. For the four-point function of the stress tensor multiplet supersymmetry also softens the Regge behavior in some channels, and consequently we observe that ‘analyticity in spin’ holds for all spins greater than − 3. All the physical operators in this correlator therefore lie on Regge trajectories and we describe an iterative scheme where the Lorentzian inversion formula can be used to bootstrap the four-point function. Some numerical experiments yield promising results, with OPE data approaching the numerical bootstrap results for all theories with rank greater than one.