Determines the unique two- and three-loop symbols for the four-point NMHV form factor from an 88-letter alphabet, providing first multi-loop non-MHV data and supporting alphabet universality.
Arkani-Hamed, L.J
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One-cycle negative geometries in N=4 SYM have singularities only at z=-1, 0, and infinity to all loop orders.
In planar N=4 SYM the IR-finite hard amplitude satisfies an uncorrected tree-level soft theorem and represents the undeformed tree-level S-algebra of soft gluons.
The n-site chain graph contribution to the de Sitter cosmological wavefunction in conformally coupled φ³ theory is expressed explicitly in terms of Rudenko's quadrangular polylogarithms.
A basis of six uniform-transcendental five-point off-shell conformal integrals is constructed and mapped to known families, yielding symbol-level two-loop results for half-BPS correlators.
The dissertation rewrites positive Schubert geometry via spectral algebraic geometry and differential cohesion to construct a categorical dual to the Amplituhedron with a De Rham volume.
Three-loop five-point master integrals in N=4 SYM are evaluated via DCI-preserving regularization, cross-ratio factorization, and selective IBP/HyperInt reduction on 82 regions.
citing papers explorer
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Bootstrapping the Four-Point NMHV Stress-Tensor Form Factor
Determines the unique two- and three-loop symbols for the four-point NMHV form factor from an 88-letter alphabet, providing first multi-loop non-MHV data and supporting alphabet universality.
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Landau Analysis of One-Cycle Negative Geometries
One-cycle negative geometries in N=4 SYM have singularities only at z=-1, 0, and infinity to all loop orders.
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Soft Algebra for ${\cal N}=4$ SYM
In planar N=4 SYM the IR-finite hard amplitude satisfies an uncorrected tree-level soft theorem and represents the undeformed tree-level S-algebra of soft gluons.
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de Sitter Wavefunction from Quadrangular Polylogarithms: Chain Graphs
The n-site chain graph contribution to the de Sitter cosmological wavefunction in conformally coupled φ³ theory is expressed explicitly in terms of Rudenko's quadrangular polylogarithms.
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Brave new categorical spectral positive Schubert geometry and the categorical Dual Amplituhedron
The dissertation rewrites positive Schubert geometry via spectral algebraic geometry and differential cohesion to construct a categorical dual to the Amplituhedron with a De Rham volume.
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Five legs @ three loops: slightly off-shell dual conformal integrals
Three-loop five-point master integrals in N=4 SYM are evaluated via DCI-preserving regularization, cross-ratio factorization, and selective IBP/HyperInt reduction on 82 regions.