Symmetries of the refined D1/D5 BPS spectrum

Benjamin, Nathan; Harrison, Sarah M.

doi:10.1007/jhep11(2017)091

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:

^[1]; Harrison, Sarah M. ^[2]

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:: Wed Nov 15 00:00:00 EST 2017

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.

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                    Benjamin, Nathan, & Harrison, Sarah M. Symmetries of the refined D1/D5 BPS spectrum.  United States.  https://doi.org/10.1007/jhep11(2017)091

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                    Benjamin, Nathan, and Harrison, Sarah M. Wed .  
"Symmetries of the refined D1/D5 BPS spectrum".  United States.  https://doi.org/10.1007/jhep11(2017)091.  https://www.osti.gov/servlets/purl/1505833.

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@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         = {Wed Nov 15 00:00:00 EST 2017},

  month        = {Wed Nov 15 00:00:00 EST 2017}

}

Copy to clipboard

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Title: Symmetries of the refined D1/D5 BPS spectrum

Abstract

Citation Formats

Counting spinning dyons in maximal supergravity: the Hodge-elliptic genus for tori journal, August 2017

A holographic dual for string theory on AdS3×S3×S3×S1 journal, August 2017

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A refined count of BPS states in the D1/D5 system journal, June 2017

BPS spectrum on AdS3×S3×S3×S1 journal, March 2017

Umbral Moonshine and K3 Surfaces journal, June 2015

The Large-N Limit of Superconformal Field Theories and Supergravity journal, January 1999

The D1/D5 system and singular CFT journal, April 1999

A Hiker's Guide to K3.¶Aspects of N= (4,4) Superconformal Field Theory¶with Central Charge c= 6 journal, January 2001

Heisenberg Algebra and Hilbert Schemes of Points on Projective Surfaces journal, March 1997

No more walls! A tale of modularity, symmetry, and wall crossing for 1/4 BPS dyons journal, May 2017

Black rings journal, September 2006

Search for a holographic dual to $\textit{AdS}_3\times S^3\times S^3\times S^1$ journal, January 2005

On symmetries of N $$ \mathcal{N} $$ = (4, 4) sigma models on T 4 journal, August 2014

Character formulas for the N = 4 superconformal algebra journal, January 1988

The Hodge-Elliptic Genus, Spinning BPS States, and Black Holes journal, May 2017

A note on toroidal compactification of heterotic string theory journal, January 1987

Microscopic origin of the Bekenstein-Hawking entropy journal, June 1996

Unitary representations of the N=4 superconformal algebra journal, September 1987

Characters of the N = 4 superconformal algebra with two central extensions (II). Massless representations journal, April 1990

Quarter-BPS states in orbifold sigma models with ADE singularities journal, June 2017

Notes on the K3 Surface and the Mathieu Group M 24 journal, March 2011

Superconformal algebras in two dimensions with N=4 journal, July 1988

AdS 3 black holes and a stringy exclusion principle journal, December 1998

Black hole entropy in M-Theory journal, December 1997

Elliptic Genera of Symmetric Products and Second Quantized Strings journal, April 1997

Instanton strings and hyper-Kähler geometry journal, March 1999

Characters of the N = 4 superconformal algebra with two central extensions journal, February 1990

Perverse sheaves and the cohomology of Hilbert schemes of smooth algebraic surfaces journal, December 1993

K3 surfaces, $\mathcal{N}=4$ dyons and the Mathieu group $M_{24}$ journal, January 2010

Large N elliptic genus and AdS/CFT correspondence journal, May 1999

Counting spinning dyons in maximal supergravity: the Hodge-elliptic genus for tori
journal, August 2017

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journal, August 2017

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journal, January 2017

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journal, June 2017

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journal, March 2017

Umbral Moonshine and K3 Surfaces
journal, June 2015

The Large-N Limit of Superconformal Field Theories and Supergravity
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A Hiker's Guide to K3.¶Aspects of N= (4,4) Superconformal Field Theory¶with Central Charge c= 6
journal, January 2001

Heisenberg Algebra and Hilbert Schemes of Points on Projective Surfaces
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Search for a holographic dual to $\textit{AdS}_3\times S^3\times S^3\times S^1$
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On symmetries of N $$ \mathcal{N} $$ = (4, 4) sigma models on T 4
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Character formulas for the N = 4 superconformal algebra
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The Hodge-Elliptic Genus, Spinning BPS States, and Black Holes
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A note on toroidal compactification of heterotic string theory
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Microscopic origin of the Bekenstein-Hawking entropy
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Unitary representations of the N=4 superconformal algebra
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