Yangian Symmetry and Integrability of Planar N=4 Supersymmetric Yang-Mills Theory - INSPIRE

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Yangian Symmetry and Integrability of Planar N=4 Supersymmetric Yang-Mills Theory

Niklas Beisert
(
- Zurich, ETH
)
,
Aleksander Garus
(
- Zurich, ETH
)
,
Matteo Rosso
(
- Humboldt U., Berlin and
- Zurich, ETH
)

Jan 31, 2017

5 pages

Published in:

Phys.Rev.Lett. 118 (2017) 14, 141603

Published: Apr 7, 2017

e-Print:

1701.09162 [hep-th]

DOI:

10.1103/PhysRevLett.118.141603

Report number:

HU-EP-17-03

View in:

ADS Abstract Service

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Abstract: (APS)

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.

Note:

9 pages, v2: minor changes, published version

symmetry: Yangian
integrability
supersymmetry: 4
Yang-Mills: supersymmetry
field equations: classical
off-shell
gauge field theory
ABJM model

References(15)

Figures(0)

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