AdS super gluon scattering up to two loops: A position space approach

Abstract

We carry out a bootstrap study of four-point correlators in 4d $\mathcal{N}=2$ SCFTs which are dual to super Yang-Mills on $Ad{S}_5\times S^3$. We focus on the simplest $\frac{1}{2}$-BPS operators which correspond to the super gluons in the massless current multiplet. Our computation is based on an ansatz in position space which is inspired by a hidden symmetry structure manifest in the leading terms of the Lorentzian singularities of the correlators. By using other consistency conditions, we completely fix the super gluon correlators at one and two loops in the bulk genus expansion, up to possible counterterms. Our results reveal a number of interesting properties enriched by the color structures. In particular, the implication of hidden conformal symmetry on the full super gluon reduced correlator exhibits an analogous pattern as in the $Ad{S}_5\times S^5$ supergravity correlators recently computed up to two loops.

some typos corrected

References in corpus (12)

• Mellin amplitudes for $Ad{S}_5\times S^5$
• Loop Corrections to Supergravity on $Ad{S}_5\times S^5$
• Selected Topics in Analytic Conformal Bootstrap: A Guided Journey
• Gluon Scattering in AdS from CFT
• Double Copy Relation for AdS
• Baikov representations, intersection theory, and canonical Feynman integrals
• Large $p$ explorations. From SUGRA to big STRINGS in Mellin space
• All Tree-Level Correlators for M-theory on $Ad{S}_7\times S^4$
• Constructing Canonical Feynman Integrals with Intersection Theory
• One-loop Gluon Amplitudes in AdS
• All loop structures in Supergravity Amplitudes on $Ad{S}_5\times S^5$ from CFT
• BCJ relations in ${AdS}_5\times S^3$ and the double-trace spectrum of super gluons

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• Mellin amplitudes for $Ad{S}_3\times S^3$
• Bootstrap AdS Veneziano Amplitude with Arbitrary Kaluza-Klein Modes