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.
Semiclassical Strings on AdS_5 x S^5/Z_M and Operators in Orbifold Field Theories
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abstract
We show agreements, at one-loop level of field theory, between energies of semiclassical string states on AdS_5 x S^5/Z_M and anomalous dimensions of operators in N=0,1,2 orbifold field theories originating from N=4 SYM. On field theory side, one-loop anomalous dimension matrices can be regarded as Hamiltonians of spin chains with twisted boundary conditions. These are solvable by Bethe ansatz. On string side, twisted sectors emerge and we obtain some string configurations in twisted sectors. In SU(2) subsectors, we compare anomalous dimensions with string energies and see agreements. We also see agreements between sigma models of both sides in SU(2) and SU(3) subsectors.
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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.