Symmetries of the refined D1/D5 BPS spectrum
Abstract
We examine the large N 1/4BPS 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 rightmoving 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 rightmoving 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.
 Authors:

 Stanford Univ., Stanford, CA (United States). Stanford Inst. for Theoretical Physics
 Harvard Univ., Cambridge, MA (United States). Center for the Fundamental Laws of Nature
 Publication Date:
 Research Org.:
 Harvard Univ., Cambridge, MA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC)
 OSTI Identifier:
 1505833
 Grant/Contract Number:
 SC0007870
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 11; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdSCFT Correspondence; Conformal and W Symmetry; Conformal Field Theory; Extended Supersymmetry
Citation Formats
Benjamin, Nathan, and Harrison, Sarah M. Symmetries of the refined D1/D5 BPS spectrum. United States: N. p., 2017.
Web. doi:10.1007/jhep11(2017)091.
Benjamin, Nathan, & Harrison, Sarah M. Symmetries of the refined D1/D5 BPS spectrum. United States. doi:10.1007/jhep11(2017)091.
Benjamin, Nathan, and Harrison, Sarah M. Wed .
"Symmetries of the refined D1/D5 BPS spectrum". United States. doi:10.1007/jhep11(2017)091. https://www.osti.gov/servlets/purl/1505833.
@article{osti_1505833,
title = {Symmetries of the refined D1/D5 BPS spectrum},
author = {Benjamin, Nathan and Harrison, Sarah M.},
abstractNote = {We examine the large N 1/4BPS spectrum of the symmetric orbifold CFT SymN (M ) deformed to the supergravity point in moduli space for M = K3 and T 4. We consider refinement under both left and rightmoving 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 rightmoving 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 = {10.1007/jhep11(2017)091},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2017,
place = {United States},
year = {2017},
month = {11}
}
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