Further Results on a Function Relevant for Conformal Blocks

We present further mathematical results on a function appearing in the conformal blocks of four-point correlation functions with arbitrary primary operators. The -function was introduced in a previous article, and it has several interesting properties. We prove explicitly the recurrence relation as...

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Опубліковано в: :Symmetry, Integrability and Geometry: Methods and Applications
Дата:2020
Автори: Comeau, Vincent, Fortin, Jean-François, Skiba, Witold
Формат: Стаття
Мова:Англійська
Опубліковано: Інститут математики НАН України 2020
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/211095
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Further Results on a Function Relevant for Conformal Blocks. Vincent Comeau, Jean-François Fortin and Witold Skiba. SIGMA 16 (2020), 124, 15 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Comeau, Vincent
Fortin, Jean-François
Skiba, Witold
author_facet Comeau, Vincent
Fortin, Jean-François
Skiba, Witold
citation_txt Further Results on a Function Relevant for Conformal Blocks. Vincent Comeau, Jean-François Fortin and Witold Skiba. SIGMA 16 (2020), 124, 15 pages
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description We present further mathematical results on a function appearing in the conformal blocks of four-point correlation functions with arbitrary primary operators. The -function was introduced in a previous article, and it has several interesting properties. We prove explicitly the recurrence relation as well as the ₆-invariance presented previously. We also demonstrate the proper action of the differential operator used to construct the -function.
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spelling Comeau, Vincent
Fortin, Jean-François
Skiba, Witold
2025-12-23T13:14:05Z
2020
Further Results on a Function Relevant for Conformal Blocks. Vincent Comeau, Jean-François Fortin and Witold Skiba. SIGMA 16 (2020), 124, 15 pages
1815-0659
2020 Mathematics Subject Classification: 33C70; 33C65; 33C90; 81T40
arXiv:1902.08598
https://nasplib.isofts.kiev.ua/handle/123456789/211095
https://doi.org/10.3842/SIGMA.2020.124
We present further mathematical results on a function appearing in the conformal blocks of four-point correlation functions with arbitrary primary operators. The -function was introduced in a previous article, and it has several interesting properties. We prove explicitly the recurrence relation as well as the ₆-invariance presented previously. We also demonstrate the proper action of the differential operator used to construct the -function.
Two of the authors(JFF and WS) would like to thank the CERN Theory Group, where this work was conceived, for its hospitality. The work of VC and JFF is supported by NSERC and FRQNT. We would like to acknowledge anonymous referees whose comments helped us improve the content and clarity of this article.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Further Results on a Function Relevant for Conformal Blocks
Article
published earlier
spellingShingle Further Results on a Function Relevant for Conformal Blocks
Comeau, Vincent
Fortin, Jean-François
Skiba, Witold
title Further Results on a Function Relevant for Conformal Blocks
title_full Further Results on a Function Relevant for Conformal Blocks
title_fullStr Further Results on a Function Relevant for Conformal Blocks
title_full_unstemmed Further Results on a Function Relevant for Conformal Blocks
title_short Further Results on a Function Relevant for Conformal Blocks
title_sort further results on a function relevant for conformal blocks
url https://nasplib.isofts.kiev.ua/handle/123456789/211095
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AT fortinjeanfrancois furtherresultsonafunctionrelevantforconformalblocks
AT skibawitold furtherresultsonafunctionrelevantforconformalblocks