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Thermal correlation functions in CFT and factorization
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DOI：10.1007/JHEP11(2021)049.png)
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摘要
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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.
Keyword:
AdS-CFT Correspondence
Conformal Field Theory
期刊
IF:
5.5
论文数:
4.0W
被引数:
13.7W
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