Traintrack Calabi-Yaus from twistor geometry

DOI10.1007/JHEP07(2020)160zbMath1451.81362arXiv2005.08771MaRDI QIDQ2215410

Matthias Volk, Cristian Vergu

Publication date: 11 December 2020

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.08771

zbMATH Keywords

scattering amplitudessupersymmetric gauge theory

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) (K3) surfaces and Enriques surfaces (14J28) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) (2)-body potential quantum scattering theory (81U05) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Related Items (10)

Building bases of loop integrands ⋮ The ice cone family and iterated integrals for Calabi-Yau varieties ⋮ On a procedure to derive \(\epsilon\)-factorised differential equations beyond polylogarithms ⋮ An infinite family of elliptic ladder integrals ⋮ Cutting the traintracks: Cauchy, Schubert and Calabi-Yau ⋮ Feynman integrals in dimensional regularization and extensions of Calabi-Yau motives ⋮ Symbology for elliptic multiple polylogarithms and the symbol prime ⋮ Cuts and isogenies ⋮ A Feynman integral depending on two elliptic curves ⋮ Direct Integration for Multi-Leg Amplitudes: Tips, Tricks, and When They Fail

Uses Software

• PALP

Cites Work

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• Eliminating spurious poles from gauge-theoretic amplitudes
• The complete planar S-matrix of \(\mathcal{N} = 4\) SYM as a Wilson loop in twistor space
• A \(K3\) in \(\phi^{4}\)
• PALP: a package for analysing lattice polytopes with applications to toric geometry
• The box integrals in momentum-twistor geometry
• Hexagon Wilson loop = six-gluon MHV amplitude
• Nikulin involutions on \(K3\) surfaces
• Local mirror symmetry and the sunset Feynman integral
• Local integrals for planar scattering amplitudes
• Matroids, motives, and a conjecture of Kontsevich.
• Embedding Feynman integral (Calabi-Yau) geometries in weighted projective space
• Bhabha scattering and a special pencil of \(K3\) surfaces
• Stringy Hodge numbers of varieties with Gorenstein canonical singularities
• A Feynman integral via higher normal functions
• Lectures on K3 Surfaces
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• On Calabi-Yau Complete Intersections in Toric Varieties

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