A Recipe for Conformal Blocks
We describe a prescription for constructing conformal blocks in conformal field theories in any space-time dimension with arbitrary quantum numbers. Our procedure reduces the calculation of conformal blocks to constructing certain group theoretic structures that depend on the quantum numbers of pri...
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| Format: | Article |
| Language: | English |
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Andromeda Publishing and Academic Services
2022-06-01
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| Series: | Letters in High Energy Physics |
| Subjects: | |
| Online Access: | http://journals.andromedapublisher.com/index.php/LHEP/article/view/293 |
| _version_ | 1811248060561358848 |
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| author | Witold Skiba Jean-Francois Fortin |
| author_facet | Witold Skiba Jean-Francois Fortin |
| author_sort | Witold Skiba |
| collection | DOAJ |
| description |
We describe a prescription for constructing conformal blocks in conformal field theories in any space-time dimension with arbitrary quantum numbers. Our procedure reduces the calculation of conformal blocks to constructing certain group theoretic structures that depend on the quantum numbers of primary operators. These structures project into irreducible Lorentz representations. Once the Lorentz quantum numbers are accounted for there are no further calculations left to do. We compute a multivariable generalization of the Exton function. This generalized Exton function, together with the group theoretic structures, can be used to construct conformal blocks for four-point as well as higher-point correlation functions.
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| first_indexed | 2024-04-12T15:20:22Z |
| format | Article |
| id | doaj.art-2c9539205fcd45b3940b4a9e608556e3 |
| institution | Directory Open Access Journal |
| issn | 2632-2714 |
| language | English |
| last_indexed | 2024-04-12T15:20:22Z |
| publishDate | 2022-06-01 |
| publisher | Andromeda Publishing and Academic Services |
| record_format | Article |
| series | Letters in High Energy Physics |
| spelling | doaj.art-2c9539205fcd45b3940b4a9e608556e32022-12-22T03:27:28ZengAndromeda Publishing and Academic ServicesLetters in High Energy Physics2632-27142022-06-012022110.31526/lhep.2022.293A Recipe for Conformal BlocksWitold Skiba0Jean-Francois Fortin1Department of Physics, Yale University, New Haven, CT 06520, USADepartement de Physique, de Genie Physique et d’Optique, Universite Laval, Quebec, QC G1V 0A6, Canada We describe a prescription for constructing conformal blocks in conformal field theories in any space-time dimension with arbitrary quantum numbers. Our procedure reduces the calculation of conformal blocks to constructing certain group theoretic structures that depend on the quantum numbers of primary operators. These structures project into irreducible Lorentz representations. Once the Lorentz quantum numbers are accounted for there are no further calculations left to do. We compute a multivariable generalization of the Exton function. This generalized Exton function, together with the group theoretic structures, can be used to construct conformal blocks for four-point as well as higher-point correlation functions. http://journals.andromedapublisher.com/index.php/LHEP/article/view/293conformal field theoriesconformal blocks |
| spellingShingle | Witold Skiba Jean-Francois Fortin A Recipe for Conformal Blocks Letters in High Energy Physics conformal field theories conformal blocks |
| title | A Recipe for Conformal Blocks |
| title_full | A Recipe for Conformal Blocks |
| title_fullStr | A Recipe for Conformal Blocks |
| title_full_unstemmed | A Recipe for Conformal Blocks |
| title_short | A Recipe for Conformal Blocks |
| title_sort | recipe for conformal blocks |
| topic | conformal field theories conformal blocks |
| url | http://journals.andromedapublisher.com/index.php/LHEP/article/view/293 |
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