Harmonic Analysis in d-Dimensional Superconformal Field Theory
| Autor: | Buric, Ilija |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
High Energy Physics - Theory
High energy Casimir FOS: Physical sciences Conformal map 01 natural sciences group: conformal Harmonic analysis High Energy Physics::Theory 0103 physical sciences ddc:530 Field theory (psychology) crossing [symmetry] 010306 general physics conformal [field theory] Mathematical Physics Mathematical physics field theory: conformal Physics symmetry: crossing 010308 nuclear & particles physics Group (mathematics) Crossing Casimir effect High Energy Physics - Theory (hep-th) harmonic [analysis] analysis: harmonic n-point function: 4 Geometry and Topology 4 [n-point function] Analysis conformal [group] |
| Zdroj: | Symmetry, integrability and geometry: methods and applications 17, 38 (2021). doi:10.3842/SIGMA.2021.007 |
| ISSN: | 1815-0659 |
| DOI: | 10.3842/sigma.2021.007 |
| Popis: | Symmetry, integrability and geometry: methods and applications 17, 38 (2021). doi:10.3842/SIGMA.2021.007 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. Published by [S.l.] |
| Databáze: | OpenAIRE |
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