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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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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.
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description 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.
doi_str_mv 10.1007/JHEP11(2017)091
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subjects AdS-CFT Correspondence
Classical and Quantum Gravitation
Conformal and W Symmetry
Conformal Field Theory
Decomposition
Deformation
Elementary Particles
Extended Supersymmetry
Group theory
High energy physics
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum Field Theories
Quantum Field Theory
Quantum numbers
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Subgroups
Supergravity
Symmetry
title Symmetries of the refined D1/D5 BPS spectrum
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