Introduces a bridge transformation on the orthogonal Grassmannian to produce an algebraic recursion for cosmological correlators and identifies the stripped four-gluon correlator as the canonical form of a rectangle in positive geometry.
Arkani-Hamed, C
11 Pith papers cite this work. Polarity classification is still indexing.
11
Pith papers citing it
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Tree-level gluon correlators in AdS4 decompose into energy poles with residues given by flat-space amplitudes, curvature corrections captured by lower-point amplitudes with merged data via AdS Berends-Giele currents.
De Sitter correlators in conformally coupled φ³ theory admit a time-integral representation built from flat-space correlators, revealing intrinsic simplifications including vanishing of odd conjugate-momentum graphs and a smaller symbol alphabet than the corresponding wavefunction coefficients.
A parity-split IBP system for n-propagator families in de Sitter space is identified, along with a conjecture that dlog-form differential equations extend to dS integrands with Hankel functions, verified for the one-loop bubble.
Computes inflationary bispectra and trispectra from tree-level unparticle exchanges using Mellin-Barnes methods and symmetry-based differential equations, revealing that full shapes are needed to distinguish unparticles from light particles.
Reconstructs four- to six-gluon wavefunctions in de Sitter space from cosmological cuts, separating cut-detectable parts from completions fixed by current conservation and flat-space limit, matching Feynman rules.
Banana loop cosmological correlators are captured by master integrals from tubings of marked graphs, with connection matrices derived from activation, merger, swap, and copy rules unique to unparticle exchanges.
The all-loop two-site cosmological wavefunction coefficient admits an equivalent maximal-chain expansion on the Boolean lattice that unifies the shifted-tree decomposition and the tubing construction via finite-difference operators and cubical integrals.
Equal-time correlators are simpler than wavefunctions because full-spacetime integration of propagators eliminates certain poles and yields a vanishing first subleading term in every Laurent expansion around poles.
Adapts BCFW-style recursion to deformed ABHY-associahedron and D-type cluster polytopes for tree-level and one-loop amplitudes in multi-scalar cubic theories.
Reversing the direction of tubing evolution yields splitting rules that reproduce the kinematic flow differential equations at tree level and suggest time emerges from kinematic space in conformally coupled scalar models and tr phi^3 theory.
citing papers explorer
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A Cosmological BCFW Bridge and Its Canonical Geometry
Introduces a bridge transformation on the orthogonal Grassmannian to produce an algebraic recursion for cosmological correlators and identifies the stripped four-gluon correlator as the canonical form of a rectangle in positive geometry.
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On the amplitude expansion of gluon correlators in $\textrm{AdS}_4$
Tree-level gluon correlators in AdS4 decompose into energy poles with residues given by flat-space amplitudes, curvature corrections captured by lower-point amplitudes with merged data via AdS Berends-Giele currents.
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On the simplicity of de Sitter correlators
De Sitter correlators in conformally coupled φ³ theory admit a time-integral representation built from flat-space correlators, revealing intrinsic simplifications including vanishing of odd conjugate-momentum graphs and a smaller symbol alphabet than the corresponding wavefunction coefficients.
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Loop integrals in de Sitter spacetime: The parity-split IBP system and $\mathrm{d}\log$-form differential equations
A parity-split IBP system for n-propagator families in de Sitter space is identified, along with a conjecture that dlog-form differential equations extend to dS integrands with Hankel functions, verified for the one-loop bubble.
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Strongly Coupled Sectors in Inflation: Gapless Theories and Unparticles
Computes inflationary bispectra and trispectra from tree-level unparticle exchanges using Mellin-Barnes methods and symmetry-based differential equations, revealing that full shapes are needed to distinguish unparticles from light particles.
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From Cosmological Cuts to Yang--Mills Wavefunctions in de Sitter Space
Reconstructs four- to six-gluon wavefunctions in de Sitter space from cosmological cuts, separating cut-detectable parts from completions fixed by current conservation and flat-space limit, matching Feynman rules.
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Kinematic Flow for Banana Loops and Unparticles
Banana loop cosmological correlators are captured by master integrals from tubings of marked graphs, with connection matrices derived from activation, merger, swap, and copy rules unique to unparticle exchanges.
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A Boolean-Lattice Perspective for All-Loop Two-Site Cosmological Wavefunction
The all-loop two-site cosmological wavefunction coefficient admits an equivalent maximal-chain expansion on the Boolean lattice that unifies the shifted-tree decomposition and the tubing construction via finite-difference operators and cubical integrals.
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Correlators are simpler than wavefunctions
Equal-time correlators are simpler than wavefunctions because full-spacetime integration of propagators eliminates certain poles and yields a vanishing first subleading term in every Laurent expansion around poles.
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BCFW like recursion for Deformed Associahedron
Adapts BCFW-style recursion to deformed ABHY-associahedron and D-type cluster polytopes for tree-level and one-loop amplitudes in multi-scalar cubic theories.
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An Alternative Viewpoint on Kinematic Flow from Tubing Splitting
Reversing the direction of tubing evolution yields splitting rules that reproduce the kinematic flow differential equations at tree level and suggest time emerges from kinematic space in conformally coupled scalar models and tr phi^3 theory.