Yangian Symmetry for the Action of Planar $\mathcal N=$ 4 Super Yang-Mills and $\mathcal N=$ 6 Super Chern-Simons Theories - INSPIRE

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Yangian Symmetry for the Action of Planar $\mathcal N=$ 4 Super Yang-Mills and $\mathcal N=$ 6 Super Chern-Simons Theories

Mar 16, 2018

27 pages

Published in:

Phys.Rev.D 98 (2018) 4, 046006

Published: Aug 10, 2018

e-Print:

1803.06310 [hep-th]

DOI:

10.1103/PhysRevD.98.046006

Report number:

HU-EP-18/08,
HU-EP-18-08

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Abstract: (APS)

In this article, we establish the notion of classical Yangian symmetry for planar N=4 supersymmetric Yang-Mills theory and for related planar gauge theories. After revisiting Yangian invariance for the equations of motion, we describe how the bilocal generators act on the action of the model such that the latter becomes exactly invariant. In particular, we elaborate on the relevance of the planar limit and how to act nonlinearly with bilocal generators on the cyclic action.

Note:

42 pages, in honor of Joe Polchinski; v2: minor corrections

String theory, quantum gravity, gauge/gravity duality
supersymmetry: 4
symmetry: Yangian
Chern-Simons term
field equations
algebra: conformal
integrability
ABJM model
AdS/CFT correspondence
representation: nonlinear

References(54)

Figures(0)

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