Harmonic Analysis in d-Dimensional Superconformal Field Theory

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Autor/in:
Erscheinungsjahr:
2021
Medientyp:
Text
Schlagworte:
  • conformal blocks; crossing equations; Calogero-Sutherland models
  • High Energy Physics - Theory
Beschreibung:
  • Superconformal blocks and crossing symmetry equations are among central ingredients in any superconformal field theory. We review the approach to these objects rooted in harmonic analysis on the superconformal group that was put forward in [J. High Energy Phys. 2020 (2020), no. 1, 159, 40 pages, arXiv: 1904.04852] and [J. High Energy Phys. 2020 (2020), no. 10, 147, 44 pages, arXiv: 2005.13547]. After lifting conformal four-point functions to functions on the superconformal group, we explain how to obtain compact expressions for crossing constraints and Casimir equations. The later allow to write superconformal blocks as finite sums of spinning bosonic blocks.
Lizenz:
  • info:eu-repo/semantics/restrictedAccess
Quellsystem:
Forschungsinformationssystem der UHH

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oai:www.edit.fis.uni-hamburg.de:publications/b24830b2-1fe2-4f35-bf79-5fb536ee75be