$20'$ Five-Point Function from $AdS_5\times S^5$ Supergravity
Autor: | Gonçalves, Vasco, Pereira, Raul, Zhou, Xinan |
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Rok vydání: | 2019 |
Předmět: | |
Druh dokumentu: | Working Paper |
DOI: | 10.1007/JHEP10(2019)247 |
Popis: | We develop new techniques to compute five-point correlation functions from IIB supergravity on $AdS_5\times S^5$. Our methods rely entirely on symmetry and general consistency conditions, and eschew detailed knowledge of the supergravity effective action. We demonstrate our methods by computing the five-point function of the $\mathbf{20'}$ operator, which is the superconformal primary of the stress tensor multiplet. We also develop systematic methods to compute the five-point conformal blocks in series expansions. Using the explicit expressions of the conformal blocks, we perform a Euclidean OPE analysis of the $\mathbf{20'}$ five-point function. We find expected agreement with non-renormalized quantities and also extract new CFT data at strong coupling. Comment: 62 pages, 11 figures. One Mathematica notebook containing the main results. v2: minor changes, published version |
Databáze: | arXiv |
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