Traintrack Calabi-Yaus from twistor geometry

Research output: Contribution to journalJournal articlepeer-review

Standard

Traintrack Calabi-Yaus from twistor geometry. / Vergu, Cristian; Volk, Matthias.

In: Journal of High Energy Physics, Vol. 2020, No. 7, 160, 22.07.2020.

Research output: Contribution to journalJournal articlepeer-review

Harvard

Vergu, C & Volk, M 2020, 'Traintrack Calabi-Yaus from twistor geometry', Journal of High Energy Physics, vol. 2020, no. 7, 160. https://doi.org/10.1007/JHEP07(2020)160

APA

Vergu, C., & Volk, M. (2020). Traintrack Calabi-Yaus from twistor geometry. Journal of High Energy Physics, 2020(7), [160]. https://doi.org/10.1007/JHEP07(2020)160

Vancouver

Vergu C, Volk M. Traintrack Calabi-Yaus from twistor geometry. Journal of High Energy Physics. 2020 Jul 22;2020(7). 160. https://doi.org/10.1007/JHEP07(2020)160

Author

Vergu, Cristian ; Volk, Matthias. / Traintrack Calabi-Yaus from twistor geometry. In: Journal of High Energy Physics. 2020 ; Vol. 2020, No. 7.

Bibtex

@article{1a8bfd7171bd473aa9caeefdf0824159,
title = "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 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.",
keywords = "Scattering Amplitudes, Supersymmetric Gauge Theory, K3",
author = "Cristian Vergu and Matthias Volk",
year = "2020",
month = jul,
day = "22",
doi = "10.1007/JHEP07(2020)160",
language = "English",
volume = "2020",
journal = "Journal of High Energy Physics (Online)",
issn = "1126-6708",
publisher = "Springer",
number = "7",

}

RIS

TY - JOUR

T1 - Traintrack Calabi-Yaus from twistor geometry

AU - Vergu, Cristian

AU - Volk, Matthias

PY - 2020/7/22

Y1 - 2020/7/22

N2 - 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.

AB - 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.

KW - Scattering Amplitudes

KW - Supersymmetric Gauge Theory

KW - K3

U2 - 10.1007/JHEP07(2020)160

DO - 10.1007/JHEP07(2020)160

M3 - Journal article

VL - 2020

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

SN - 1126-6708

IS - 7

M1 - 160

ER -

ID: 247156052