Symmetries of the refined D1/D5 BPS spectrum

Abstract

We examine the large $N$ 1/4-BPS spectrum of the symmetric orbifold CFT Sym${}^N(M)$ deformed to the supergravity point in moduli space for $M=K3$ and $T^4$. 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.

arXiv comment27 pages + appendices; v2: minor changes

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Cited by in corpus (4)

• Lifting at higher levels in the D1D5 CFT
• Lifting 1/4-BPS States in $Ad{S}_3\times S^3\times T^4$
• Lifting of level-1 states in the D1D5 CFT
• Fortuity and Supergravity