Conformal partial wave analysis of AdS amplitudes for dilaton-axion four-point functions

Abstract

Operator product expansions are applied to dilaton-axion four-point functions. In the expansions of the bilocal fields $\tilde{\Phi }\tilde{\Phi }$, $\tilde{C}\tilde{C}$ and $\tilde{\Phi }\tilde{C}$, the conformal fields which are symmetric traceless tensors of rank $l$ and have dimensions $\delta =2+l$ or $8+l+\eta (l)$ and $\eta (l)=\mathcal{O}(N^{-2})$ are identified. The unidentified fields have dimension $\delta =\lambda +l+\eta (l)$ with $\lambda \ge 10$. The anomalous dimensions $\eta (l)$ are calculated at order $\mathcal{O}(N^{-2})$ for both $2^{-1/2}(-\tilde{\Phi }\tilde{\Phi }+\tilde{C}\tilde{C})$ and $2^{-1/2}(\tilde{\Phi }\tilde{C}+\tilde{C}\tilde{\Phi })$ and are found to be the same, proving $U(1{)}_Y$ symmetry. The relevant coupling constants are given at order $\mathcal{O}(1)$.

27 pages, 1 graph, 12 figures, Corrections in eqns. (1.10), (1.11)

References in corpus (5)

• Conformal Four Point Functions and the Operator Product Expansion
• Graviton exchange and complete 4-point functions in the AdS/CFT correspondence
• Operator Product Expansion of the Lowest Weight CPOs in N=4 SYM_4 at Strong Coupling
• The Operator Product Expansion of N=4 SYM and the 4-point Functions of Supergravity
• Bonus Symmetry and the Operator Product Expansion of N=4 Super-Yang-Mills

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