Traintrack Calabi-Yaus from twistor geometry

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We describe the geometry of the leading singularity locus of the traintrack integral family directly in momentum twistor space. For the two-loop case, known as the elliptic double box, the leading singularity locus is a genus one curve, which we obtain as an intersection of two quadrics in P-3. At three loops, we obtain a K3 surface which arises as a branched surface over two genus-one curves in P(1)x P-1. We present an analysis of its properties. We also discuss the geometry at higher loops and the supersymmetrization of the construction.

Original languageEnglish
Article number160
JournalJournal of High Energy Physics
Issue number7
Number of pages19
Publication statusPublished - 22 Jul 2020

    Research areas

  • Scattering Amplitudes, Supersymmetric Gauge Theory, K3

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