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Untwisting the symmetries of $\beta$-deformed Super-Yang--Mills
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abstract
We demonstrate that the planar real-$\beta$-deformed Super-Yang--Mills theory possesses an infinitely-dimensional Yangian symmetry algebra and thus is classically integrable. This is achieved by the introduction of the twisted coproduct which allows us to lift the apparent $\mathcal{N}=1$ supersymmetry first to the full $\mathcal{N}=4$ symmetry of the parent $\mathcal{N} = 4$ SYM theory, and subsequently to its Yangian.
Forward citations
Cited by 3 Pith papers
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Yangian Symmetry Escapes from the Fishnet
Yangian symmetry is realized classically in fishnet models under restricted parameter choices but does not extend to generic quantum correlators, indicating an obstacle from non-zero dual Coxeter number.
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Yangian Form-alism for Planar Gauge Theories
In planar N=4 SYM, the Yangian symmetries of the action in beta/gamma-deformed theories are exactly those uncharged under the twist, though the equations of motion are fully covariant.
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Hidden Symmetries of 4D N=2 Gauge Theories
The apparently broken SU(4) R-symmetry of the Z2 orbifold of N=4 SYM is recovered as a Lie algebroid and, after marginal deformation, as a Drinfeld-twisted non-associative algebroid under which the planar Lagrangian i...
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