Yangian Symmetry and Integrability of Planar N = 4 Supersymmetric Yang-Mills Theory
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Date
2017-04-07
Publication Type
Journal Article
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Abstract
In this Letter, we establish Yangian symmetry of planar N = 4 supersymmetric Yang-Mills theory. We prove that the classical equations of motion of the model close onto themselves under the action of Yangian generators. Moreover, we propose an off-shell extension of our statement, which is equivalent to the invariance of the action and prove that it is exactly satisfied. We assert that our relationship serves as a criterion for integrability in planar gauge theories by explicitly checking that it applies to the integrable Aharony-Bergman-Jafferis-Maldacena theory but not to the nonintegrable N = 1 supersymmetric Yang-Mills theory.
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published
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Journal / series
Volume
118 (14)
Pages / Article No.
141603
Publisher
American Physical Society
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Subject
Integrability in field theory; Large-N expansion in field theory; Non-Abelian gauge theories; Quantum field theory; Supersymmetric field theories; Conformal symmetry
Organisational unit
03896 - Beisert, Niklas / Beisert, Niklas
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Funding
615203 - Extended Symmetries in Gauge and Gravity Theories (EC)