期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 11, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP11(2021)049
关键词
AdS-CFT Correspondence; Conformal Field Theory
资金
- Spanish government [MINECO-16-FPA2015-63667-P]
- Principado de Asturias [FC-GRUPIN-IDI/2018/000174]
- MINECO grant [PID2019-105614GB-C21]
- State Agency for Research of the Spanish Ministry of Science and Innovation through the Unit of Excellence Maria de Maeztu'' 2020-2023 [CEX2019-000918-M]
- [2017-SGR-929]
Studying 2-point and 3-point functions in CFT at finite temperature for large dimension operators using holography provides insights into universal formulas for holographic free energy. By including alpha ' corrections, leading corrections at strong coupling can be reproduced. 3-point functions exhibit intricate structures and interesting properties, including a factorization property when dimensions satisfy specific conditions, suggesting that factorization in d > 2 is a reflection of the semiclassical regime.
We study 2-point and 3-point functions in CFT at finite temperature for large dimension operators using holography. The 2-point function leads to a universal formula for the holographic free energy in d dimensions in terms of the c-anomaly coefficient. By including alpha ' corrections to the black brane background, we reproduce the leading correction at strong coupling. In turn, 3-point functions have a very intricate structure, exhibiting a number of interesting properties. In simple cases, we find an analytic formula. When the dimensions satisfy increment Delta(i) = Delta(j) + Delta(k), the thermal 3-point function satisfies a factorization property. We argue that in d > 2 factorization is a reflection of the semiclassical regime.
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