Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 3, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP03(2022)139
Keywords
Conformal Field Theory; Field Theories in Higher Dimensions
Categories
Funding
- Simons Foundation [488637]
- Fundacao para a Ciencia e Tecnologia (FCT) [UID04650-FCUP]
- FCT under the IDPASC doctoral program [PD/BD/135436/2017]
- FCT [DFA/BD/5354/2020]
- European Social Fund (ESF) by Norte Portugal Regional Operational Program (NORTE 2020), under the PORTUGAL 2020 Partnership Agreement
- Fundação para a Ciência e a Tecnologia [PD/BD/135436/2017] Funding Source: FCT
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This study focuses on higher-point functions of scalar operators in CFTs, exploring OPE data involving multiple spinning operators. The lightcone blocks for five- and six-point functions in the snowflake channel are derived and used to analyze these correlators in the lightcone limit. The large spin expansion of OPE coefficients involving two or three spinning operators is determined. Results are verified by comparing with the block decomposition of higher-point functions in generalized free theory and in theories with a cubic coupling.
Higher-point functions of scalar operators are a rich observable in CFTs, as they contain OPE data involving multiple spinning operators. We derive the lightcone blocks for five- and six-point functions in the snowflake channel and use them to bootstrap these correlators in the lightcone limit. As a result we determine the large spin expansion of OPE coefficients involving two or three spinning operators. We verify our results by comparing to the block decomposition of higher-point functions in generalized free theory and in theories with a cubic coupling.
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