Traintrack Calabi-Yaus from twistor geometry
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Traintrack Calabi-Yaus from twistor geometry. / Vergu, Cristian; Volk, Matthias.
I: Journal of High Energy Physics, Bind 2020, Nr. 7, 160, 22.07.2020.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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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