Yangian Symmetry of Scattering Amplitudes and the Dilatation Operator in N=4 Supersymmetric Yang-Mills Theory

被引：5

作者：

Brandhuber, Andreas ^{[1
]}

Heslop, Paul ^{[2
]}

Travaglini, Gabriele ^{[1
,2
]}

Young, Donovan ^{[1
]}

机构：

[1] Queen Mary Univ London, Sch Phys & Astron, Ctr Res String Theory, London E1 4NS, England

[2] Univ Durham, Dept Math Sci, Durham DH1 3LE, England

来源：

PHYSICAL REVIEW LETTERS | 2015年 / 115卷 / 14期

基金：

英国科学技术设施理事会;

关键词：

D O I：

10.1103/PhysRevLett.115.141602

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is known that the Yangian of PSU (2; 2 vertical bar 4) is a symmetry of the tree-level S matrix of N = 4 super Yang-Mills theory. On the other hand, the complete one-loop dilatation operator in the same theory commutes with the level-one Yangian generators only up to certain boundary terms found by Dolan, Nappi, and Witten. Using a result by Zwiebel, we show how the Yangian symmetry of the tree-level S matrix of N = 4 super Yang-Mills theory implies precisely the Yangian invariance, up to boundary terms, of the one-loop dilatation operator.

引用

页数：6

共 50 条

[41] Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
Gaiotto, Davide
Witten, Edward
[J]. JOURNAL OF STATISTICAL PHYSICS, 2009, 135 (5-6) : 789 - 855
[42] An exact prediction of N=4 supersymmetric Yang-Mills theory for string theory
Drukker, N
Gross, DJ
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2001, 42 (07) : 2896 - 2914
[43] Holographic Friedmann equation and N=4 supersymmetric Yang-Mills theory
Ghoroku, Kazuo
Nakamura, Akihiro
[J]. PHYSICAL REVIEW D, 2013, 87 (06)
[44] Structure of the electric flux in N=4 supersymmetric Yang-Mills theory
Erickson, J
Semenoff, GW
Zarembo, K
[J]. PHYSICS LETTERS B, 1999, 466 (2-4) : 239 - 243
[45] Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory
Drummond, J. M.
Henn, J.
Korchemsky, G. P.
Sokatchev, E.
[J]. NUCLEAR PHYSICS B, 2010, 828 (1-2) : 317 - 374
[46] On mass-deformed N=4 supersymmetric Yang-Mills theory
Dorey, N
Khoze, VV
Mattis, MP
[J]. PHYSICS LETTERS B, 1997, 396 (1-4) : 141 - 149
[47] The Four-Loop Anomalous Dimension of the Konishi Operator in N=4 Supersymmetric Yang-Mills Theory
Velizhanin, V. N.
[J]. JETP LETTERS, 2009, 89 (01) : 6 - 9
[48] Yangian invariants and cluster adjacency in N=4 Yang-Mills
Mago, Jorge
Schreiber, Anders
Spradlin, Marcus
Volovich, Anastasia
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2019, (10):
[49] Perturbative renormalization of the supercurrent operator in lattice N=1 supersymmetric Yang-Mills theory
Bergner, G.
Cost, M.
Panagopoulos, H.
Soler, I.
Spanoudes, G.
[J]. PHYSICAL REVIEW D, 2022, 106 (03)
[50] Solving N=2 supersymmetric Yang-Mills theory by reflection symmetry of quantum vacua
Bonelli, G
Matone, M
Tonin, M
[J]. PHYSICAL REVIEW D, 1997, 55 (10): : 6466 - 6470

← 1 2 3 4 5 →