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 is invariant.
Groupoids: unifying internal and external symmetry
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abstract
The aim of this paper is to explain, mostly through examples, what groupoids are and how they describe symmetry. We will begin with elementary examples, with discrete symmetry, and end with examples in the differentiable setting which involve Lie groupoids and their corresponding infinitesimal objects, Lie algebroids.
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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 is invariant.