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Title: 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.

Authors:
ORCiD logo [1];  [2]
  1. Stanford Univ., Stanford, CA (United States). Stanford Inst. for Theoretical Physics
  2. 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 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT 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 1/4-BPS 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 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 = {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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