Abstract
We examine the large N 1/4-BPS spectrum of the symmetric orbifold CFT SymN (M ) deformed to the supergravity point in moduli space for M = K3 and T4. We consider refinement under both left- and right-moving SU(2)R symmetries of the superconformal algebra, and decompose the spectrum into characters of the algebra. We find that at large N the character decomposition satisfies an unusual property, in which the degeneracy only depends on a certain linear combination of left- and right-moving quantum numbers, suggesting deeper symmetry structure. Furthermore, we consider the action of discrete symmetry groups on these degeneracies, where certain subgroups of the Conway group are known to play a role. We also comment on the potential for larger discrete symmetry groups to appear in the large N limit.
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