Harmonic Analysis in d-Dimensional Superconformal Field Theory
Superconformal blocks and crossing symmetry equations are among the 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,...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2021 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2021
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211181 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Harmonic Analysis in d-Dimensional Superconformal Field Theory.Ilija Burić. SIGMA 17 (2021), 007, 38 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862663556219011072 |
|---|---|
| author | Burić, Ilija |
| author_facet | Burić, Ilija |
| citation_txt | Harmonic Analysis in d-Dimensional Superconformal Field Theory.Ilija Burić. SIGMA 17 (2021), 007, 38 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Superconformal blocks and crossing symmetry equations are among the 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.
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| first_indexed | 2026-03-16T06:22:52Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211181 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-16T06:22:52Z |
| publishDate | 2021 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Burić, Ilija 2025-12-25T13:24:09Z 2021 Harmonic Analysis in d-Dimensional Superconformal Field Theory.Ilija Burić. SIGMA 17 (2021), 007, 38 pages 1815-0659 2020 Mathematics Subject Classification: 81R05; 81R12 arXiv:2009.00393 https://nasplib.isofts.kiev.ua/handle/123456789/211181 https://doi.org/10.3842/SIGMA.2021.007 Superconformal blocks and crossing symmetry equations are among the 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. This work reviewed results obtained in collaboration with Volker Schomerus and Zhenya Sobko, some of which originated in the work with Misha Isachenkov. I warmly thank all my collaborators. I am also indebted to Maja Buric and Aleix Gimenez-Grau for a number of illuminating discussions and to anonymous referees for suggesting a number of improvements to the text. Finally, I acknowledge the support by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germanys Excellence Strategy EXC 2121 Quantum Universe 390833306. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Harmonic Analysis in d-Dimensional Superconformal Field Theory Article published earlier |
| spellingShingle | Harmonic Analysis in d-Dimensional Superconformal Field Theory Burić, Ilija |
| title | Harmonic Analysis in d-Dimensional Superconformal Field Theory |
| title_full | Harmonic Analysis in d-Dimensional Superconformal Field Theory |
| title_fullStr | Harmonic Analysis in d-Dimensional Superconformal Field Theory |
| title_full_unstemmed | Harmonic Analysis in d-Dimensional Superconformal Field Theory |
| title_short | Harmonic Analysis in d-Dimensional Superconformal Field Theory |
| title_sort | harmonic analysis in d-dimensional superconformal field theory |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211181 |
| work_keys_str_mv | AT buricilija harmonicanalysisinddimensionalsuperconformalfieldtheory |