2006/08/15 by T. E. Clark, T.E. Clark, Muneto Nitta +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Central charge #Charge (physics) #Charge conservation #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #Domain (mathematical analysis) #Geometry #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum electrodynamics #Quantum mechanics #Superconformal algebra #Supercurrent #Supersymmetry #Tensor (intrinsic definition) #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2007.02.006
published in Nuclear Physics B 776(1-2), 66-92 (Elsevier BV) · 37 pages
arxiv created 2006/08/15 · openalex publication_date 2007/02/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The presence of a domain wall is shown to require a tensorial central charge extension of the superconformal algebra. The currents associated with the conformal central charges are constructed as spacetime moments of the SUSY tensorial central charge current. The supercurrent is obtained and it contains the R symmetry current, the SUSY spinor currents, the energy-momentum tensor and the SUSY tensorial central charge currents as its component currents. All tensorial central charge extended superconformal currents are constructed from the supercurrent. The superconformal currents' and the conformal tensorial central charge currents' (non-)conservation equations are expressed in terms of the generalized trace of the supercurrent. It is argued that although the SUSY tensorial central charges are uncorrected, the conformal tensorial central charges receive radiative corrections.