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Symmetries of the refined D1/D5 BPS spectrum

A bstract 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 = K 3 and T 4 . We consider refinement under both left- and right-moving SU(2) R symmetries of the superconformal algebra, and decompose the spectrum i...

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Bibliographic Details
Published in:The journal of high energy physics 2017-11, Vol.2017 (11), p.1-41, Article 91
Main Authors: Benjamin, Nathan, Harrison, Sarah M.
Format: Article
Language:English
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Summary:A bstract 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 = K 3 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP11(2017)091