The authors derive new propagator identities that yield holographic representations for 5- and 6-point global scalar conformal blocks and obtain closed-form direct-channel decompositions of a class of higher-point AdS diagrams.
Quantum $\phi^4$ Theory in AdS${}_4$ and its CFT Dual
7 Pith papers cite this work, alongside 52 external citations. Polarity classification is still indexing.
7
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abstract
We compute the two- and four-point holographic correlation functions up to the second order in the coupling constant for a scalar $\phi^4$ theory in four-dimensional Euclidean anti-de Sitter space. Analytic expressions for the anomalous dimensions of the leading twist operators are found at one loop, both for Neumann and Dirichlet boundary conditions.
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Computes closed-form one-loop anomalous dimensions for all double-trace operators [φφ]_{n,ℓ} in Φ⁴ theory in AdS₃ for arbitrary n, ℓ and Δ_φ > 1.
The one-loop diagram in conformally coupled φ⁴ theory in AdS₃ is expressed as an infinite sum of tree-level diagrams, summed via number-theoretic conjectures to give analytic anomalous dimensions for all dual double-trace operators, with new results in t- and u-channels.
Introduces a cut-diagrammatic framework to apply crossing symmetry to individual topologies in large-N CFT correlators and computes associated OPE data for higher-trace operators.
The bulk-to-bulk photon propagator in Euclidean AdS is derived in axial, Coulomb and covariant gauges, with the simplest position-space form in the Fried–Yennie gauge ξ=d/(d−2).
Conjecture reducing bulk loop discontinuity integrals in black hole Schwinger-Keldysh geometry to exterior real-time finite-temperature loop integrals, checked at one to three loops for low-point functions.
Develops bi-supertwistor realizations and extensions for N-extended AdS superspaces in 4D/5D with supergravity correspondence and superparticle applications.
citing papers explorer
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Propagator identities, holographic conformal blocks, and higher-point AdS diagrams
The authors derive new propagator identities that yield holographic representations for 5- and 6-point global scalar conformal blocks and obtain closed-form direct-channel decompositions of a class of higher-point AdS diagrams.
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Closing the loop on $\Phi^4$ in AdS$_3$
Computes closed-form one-loop anomalous dimensions for all double-trace operators [φφ]_{n,ℓ} in Φ⁴ theory in AdS₃ for arbitrary n, ℓ and Δ_φ > 1.
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The 2-Dimensional Dual of $\phi^4$ in AdS$_3$
The one-loop diagram in conformally coupled φ⁴ theory in AdS₃ is expressed as an infinite sum of tree-level diagrams, summed via number-theoretic conjectures to give analytic anomalous dimensions for all dual double-trace operators, with new results in t- and u-channels.
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Higher-Trace Operators and Cut Diagrammatics in the Conformal Block Expansion
Introduces a cut-diagrammatic framework to apply crossing symmetry to individual topologies in large-N CFT correlators and computes associated OPE data for higher-trace operators.
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Bulk-to-bulk photon propagator in AdS
The bulk-to-bulk photon propagator in Euclidean AdS is derived in axial, Coulomb and covariant gauges, with the simplest position-space form in the Fried–Yennie gauge ξ=d/(d−2).
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Loops Outside a Black Hole
Conjecture reducing bulk loop discontinuity integrals in black hole Schwinger-Keldysh geometry to exterior real-time finite-temperature loop integrals, checked at one to three loops for low-point functions.
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Embedding formalism for anti-de Sitter superspaces
Develops bi-supertwistor realizations and extensions for N-extended AdS superspaces in 4D/5D with supergravity correspondence and superparticle applications.