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<p>Using the AdS/CFT correspondence, we compute the tree-level four-point boundary scalar correlation function for a scalar field conformally coupled to the graviton field on Euclidean AdS<sub>4</sub>. We assume that the dynamics of the graviton field is governed by the Einstein-Hilbert action. We carry out the computation in momentum space and check that the result so obtained is consistent with the conformal Ward identities.</p>

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Tree-level four-point function for a scalar field conformally coupled to Einstein’s gravity on Euclidean AdS4

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  • 发表日期：

    2025年9月5日

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  • Carmelo P. Martin

摘要

Using the AdS/CFT correspondence, we compute the tree-level four-point boundary scalar correlation function for a scalar field conformally coupled to the graviton field on Euclidean AdS4. We assume that the dynamics of the graviton field is governed by the Einstein-Hilbert action. We carry out the computation in momentum space and check that the result so obtained is consistent with the conformal Ward identities.