Yangian symmetry inmaximally supersymmetric Yang-Mills theory

2018 ◽  
pp. 288-323
Keyword(s):  
Yang Mills ◽  
Yangian Symmetry

scholarly journals Yangian and SUSY symmetry of high spin parton splitting amplitudes in generalised Yang–Mills theory

2017 ◽  
Vol 32 (23) ◽  
pp. 1750121 ◽  
Author(s):  
Roland Kirschner ◽  
George Savvidy
Keyword(s):  
Scattering Amplitudes ◽  
Gauge Field ◽  
High Spin ◽  
Gauge Field Theories ◽  
Field Theories ◽  
Recursion Relations ◽  
Yang Mills ◽  
Underlying Theory ◽  
Half Integer ◽  
Yangian Symmetry

We have calculated the high spin parton splitting amplitudes postulating the Yangian symmetry of the scattering amplitudes for tensor gluons. The resulting splitting amplitudes coincide with the earlier calculations, which were based on the BCFW recursion relations. The resulting formula unifies all known splitting probabilities found earlier in gauge field theories. It describes splitting probabilities for integer and half-integer spin particles. We also checked that the splitting probabilities fulfil the generalised Kounnas–Ross [Formula: see text] = 1 supersymmetry relations hinting to the fact that the underlying theory can be formulated in an explicit supersymmetric manner.

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

2017 ◽  
Vol 118 (14) ◽  
Author(s):  
Niklas Beisert ◽  
Aleksander Garus ◽  
Matteo Rosso
Keyword(s):  
Yang Mills ◽  
Yangian Symmetry

scholarly journals Yangian algebra and correlation functions in planar Gauge theories

2018 ◽  
Vol 5 (2) ◽  
Author(s):  
Niklas Beisert ◽  
Aleksander Garus
Keyword(s):  
Correlation Functions ◽  
Gauge Theories ◽  
Yang Mills ◽  
Local Gauge ◽  
Loop Level ◽  
Gauge Symmetries ◽  
Local Symmetries ◽  
Quantum Anomalies ◽  
Yangian Algebra ◽  
Yangian Symmetry

In this work we consider colour-ordered correlation functions of the fields in integrable planar gauge theories such as \superN=4 supersymmetric Yang–Mills theory with the aim to establish Ward–Takahashi identities corresponding to Yangian symmetries. To this end, we discuss the Yangian algebra relations and discover a novel set of bi-local gauge symmetries for planar gauge theories. We fix the gauge, introduce local and bi-local BRST symmetries and propose Slavnov–Taylor identities corresponding to the various bi-local symmetries. We then verify the validity of these identities for several correlation functions at tree and loop level. Finally, we comment on the possibility of quantum anomalies for Yangian symmetry.

scholarly journals Yangian symmetry of smooth Wilson loops in $ \mathcal{N}=4 $ super Yang-Mills theory

2013 ◽  
Vol 2013 (11) ◽  
Author(s):  
Dennis Müller ◽  
Hagen Münkler ◽  
Jan Plefka ◽  
Jonas Pollok ◽  
Konstantin Zarembo
Keyword(s):  
Wilson Loops ◽  
Yang Mills ◽  
Yangian Symmetry ◽  
Super Yang Mills Theory
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