Traintrack Calabi-Yaus from twistor geometry

Traintrack Calabi-Yaus from twistor geometry

Abstract 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...

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Main Authors: Cristian Vergu, Matthias Volk
Format: Article
Language:English
Published: SpringerOpen 2020-07-01
Series:Journal of High Energy Physics
Subjects:
Scattering Amplitudes
Supersymmetric Gauge Theory
Online Access:http://link.springer.com/article/10.1007/JHEP07(2020)160
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spelling doaj-d966455e008340cb8fa9601b20337bfd2020-11-25T02:36:55ZengSpringerOpenJournal of High Energy Physics1029-84792020-07-012020711910.1007/JHEP07(2020)160Traintrack Calabi-Yaus from twistor geometryCristian Vergu0Matthias Volk1Niels Bohr International Academy and Discovery Center, Niels Bohr Institute, University of CopenhagenNiels Bohr International Academy and Discovery Center, Niels Bohr Institute, University of CopenhagenAbstract 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 ℙ3. At three loops, we obtain a K3 surface which arises as a branched surface over two genus-one curves in ℙ1 × ℙ1. We present an analysis of its properties. We also discuss the geometry at higher loops and the supersymmetrization of the construction.http://link.springer.com/article/10.1007/JHEP07(2020)160Scattering AmplitudesSupersymmetric Gauge Theory
collection DOAJ
language English
format Article
sources DOAJ
author Cristian Vergu
Matthias Volk
spellingShingle Cristian Vergu
Matthias Volk
Traintrack Calabi-Yaus from twistor geometry
Journal of High Energy Physics
Scattering Amplitudes
Supersymmetric Gauge Theory
author_facet Cristian Vergu
Matthias Volk
author_sort Cristian Vergu
title Traintrack Calabi-Yaus from twistor geometry
title_short Traintrack Calabi-Yaus from twistor geometry
title_full Traintrack Calabi-Yaus from twistor geometry
title_fullStr Traintrack Calabi-Yaus from twistor geometry
title_full_unstemmed Traintrack Calabi-Yaus from twistor geometry
title_sort traintrack calabi-yaus from twistor geometry
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2020-07-01
description Abstract 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 ℙ3. At three loops, we obtain a K3 surface which arises as a branched surface over two genus-one curves in ℙ1 × ℙ1. We present an analysis of its properties. We also discuss the geometry at higher loops and the supersymmetrization of the construction.
topic Scattering Amplitudes
Supersymmetric Gauge Theory
url http://link.springer.com/article/10.1007/JHEP07(2020)160
work_keys_str_mv AT cristianvergu traintrackcalabiyausfromtwistorgeometry
AT matthiasvolk traintrackcalabiyausfromtwistorgeometry
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