The general 3-graviton vertex (\textit{TTT}) of conformal field theories in momentum space in \(d = 4\)

DOI10.1016/j.nuclphysb.2018.10.007zbMath1402.81199arXiv1808.10221OpenAlexW2889272585WikidataQ129097951 ScholiaQ129097951MaRDI QIDQ1626450

Matteo Maria Maglio, Claudio Corianò

Publication date: 27 November 2018

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.10221

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18) Quantum field theory on curved space or space-time backgrounds (81T20) Quantization of the gravitational field (83C45) Anomalies in quantum field theory (81T50) Gravitational energy and conservation laws; groups of motions (83C40) Kaluza-Klein and other higher-dimensional theories (83E15) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (18)

Momentum space CFT correlators for Hamiltonian truncation ⋮ A Mellin space approach to cosmological correlators ⋮ Lorentzian CFT 3-point functions in momentum space ⋮ Bootstrapping inflationary correlators in Mellin space ⋮ Anomalous gravitational TTT vertex, temperature inhomogeneity, and pressure anisotropy ⋮ Momentum space CFT correlators of non-conserved spinning operators ⋮ Conformal 3-point functions and the Lorentzian OPE in momentum space ⋮ Momentum space parity-odd CFT 3-point functions ⋮ Double copy structure of parity-violating CFT correlators ⋮ Higher spin 3-point functions in 3d CFT using spinor-helicity variables ⋮ ANEC in \(\lambda \varphi^4\) theory ⋮ On conformal blocks, crossing kernels and multi-variable hypergeometric functions ⋮ Momentum space approach to crossing symmetric CFT correlators. II: General spacetime dimension ⋮ Constraining momentum space correlators using slightly broken higher spin symmetry ⋮ Towards the higher point holographic momentum space amplitudes. II: Gravitons ⋮ Momentum space conformal three-point functions of conserved currents and a general spinning operator ⋮ The cosmological bootstrap: inflationary correlators from symmetries and singularities ⋮ On some hypergeometric solutions of the conformal Ward identities of scalar 4-point functions in momentum space

Cites Work

• Implications of conformal invariance in field theories for general dimensions
• Conserved currents and the energy-momentum tensor in conformally invariant theories for general dimensions
• Consistency conditions and trace anomalies in six dimensions
• Twenty years of the Weyl anomaly
• Three-point correlators of stress tensors in maximally-supersymmetric conformal theories in \(d=3\) and \(d=6\)
• Exact consequences of the trace anomaly in four dimensions

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