Twistor fishnets

被引:7
作者
Adamo, Tim [1 ]
Jaitly, Sumer [1 ]
机构
[1] Imperial Coll London, Blackett Lab, Theoret Phys Grp, London SW7 2AZ, England
关键词
scattering amplitudes; twistor theory; conformal invariance; MARGINAL DEFORMATIONS; GAUGE-THEORY; YANG-MILLS; N=4 SYM; INTEGRABILITY; DUALITY;
D O I
10.1088/1751-8121/ab5f88
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Four-dimensional conformal fishnet theory is an integrable scalar theory which arises as a double scaling limit of -deformed maximally supersymmetric Yang-Mills. We give a perturbative reformulation of -deformed super-Yang-Mills theory in twistor space, and implement the double scaling limit to obtain a twistor description of conformal fishnet theory. The conformal fishnet theory retains an abelian gauge symmetry on twistor space which is absent in space-time, allowing us to obtain cohomological formulae for scattering amplitudes that manifest conformal invariance. We study various classes of scattering amplitudes in twistor space with this formalism.
引用
收藏
页数:35
相关论文
共 83 条
[11]  
Arkani-Hamed N, 2011, J HIGH ENERGY PHYS, DOI 10.1007/JHEP01(2011)041
[12]   Hexagons and correlators in the fishnet theory [J].
Basso, Benjamin ;
Caetano, Joao ;
Fleury, Thiago .
JOURNAL OF HIGH ENERGY PHYSICS, 2019, 2019 (11)
[13]   Continuum limit of fishnet graphs and AdS sigma model [J].
Basso, Benjamin ;
Zhong, De-liang .
JOURNAL OF HIGH ENERGY PHYSICS, 2019, 2019 (01)
[14]   Gluing Ladder Feynman Diagrams into Fishnets [J].
Basso, Benjamin ;
Dixon, Lance J. .
PHYSICAL REVIEW LETTERS, 2017, 119 (07)
[15]   Review of AdS/CFT Integrability: An Overview [J].
Beisert, Niklas ;
Ahn, Changrim ;
Alday, Luis F. ;
Bajnok, Zoltan ;
Drummond, James M. ;
Freyhult, Lisa ;
Gromov, Nikolay ;
Janik, Romuald A. ;
Kazakov, Vladimir ;
Klose, Thomas ;
Korchemsky, Gregory P. ;
Kristjansen, Charlotte ;
Magro, Marc ;
Mcloughlin, Tristan ;
Minahan, Joseph A. ;
Nepomechie, Rafael I. ;
Rej, Adam ;
Roiban, Radu ;
Schaefer-Nameki, Sakura ;
Sieg, Christoph ;
Staudacher, Matthias ;
Torrielli, Alessandro ;
Tseytlin, Arkady A. ;
Vieira, Pedro ;
Volin, Dmytro ;
Zoubos, Konstantinos .
LETTERS IN MATHEMATICAL PHYSICS, 2012, 99 (1-3) :3-32
[16]   Loops in twistor space [J].
Bena, I ;
Bern, Z ;
Kosower, DA ;
Roiban, R .
PHYSICAL REVIEW D, 2005, 71 (10)
[17]   From twistor actions to MHV diagrams [J].
Boels, Rutger ;
Mason, Lionel ;
Skinner, David .
PHYSICS LETTERS B, 2007, 648 (01) :90-96
[18]   Supersymmetric gauge theories in twistor space [J].
Boels, Rutger ;
Mason, Lionel ;
Skinner, David .
JOURNAL OF HIGH ENERGY PHYSICS, 2007, (02)
[19]   Traintracks through Calabi-Yau Manifolds: Scattering Amplitudes beyond Elliptic Polylogarithms [J].
Bourjaily, Jacob L. ;
He, Yang-Hui ;
McLeod, Andrew J. ;
von Hippel, Matt ;
Wilhelm, Matthias .
PHYSICAL REVIEW LETTERS, 2018, 121 (07)
[20]   The connected prescription for form factors in twistor space [J].
Brandhuber, A. ;
Hughes, E. ;
Panerai, R. ;
Spence, B. ;
Travaglini, G. .
JOURNAL OF HIGH ENERGY PHYSICS, 2016, (11)