Emergent space-time and the supersymmetric index

Nathan Benjamin; Shamit Kachru; Christoph A. Keller; Natalie M. Paquette

doi:10.1007/JHEP05(2016)158

Emergent space-time and the supersymmetric index

Nathan Benjamin
, Shamit Kachru
, Christoph A. Keller
, Natalie M. Paquette

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

Abstract: It is of interest to find criteria on a 2d CFT which indicate that it gives rise to emergent gravity in a macroscopic 3d AdS space via holography. Symmetric orbifolds in the large N limit have partition functions which are consistent with an emergent space-time string theory with L_string ∼ L_AdS. For supersymmetric CFTs, the elliptic genus can serve as a sensitive probe of whether the SCFT admits a large radius gravity description with L_string ≪ L_AdS after one deforms away from the symmetric orbifold point in moduli space. We discuss several classes of constructions whose elliptic genera strongly hint that gravity with L_Planck ≪ L_string ≪ L_AdS can emerge at suitable points in moduli space.

Original language	English (US)
Article number	158
Pages (from-to)	1-22
Number of pages	22
Journal	Journal of High Energy Physics
Volume	2016
Issue number	5
DOIs	https://doi.org/10.1007/JHEP05(2016)158
State	Published - May 1 2016
Externally published	Yes

Keywords

AdS-CFT Correspondence
Conformal and W Symmetry
Field Theories in Lower Dimensions

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1007/JHEP05(2016)158

Cite this

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abstract = "Abstract: It is of interest to find criteria on a 2d CFT which indicate that it gives rise to emergent gravity in a macroscopic 3d AdS space via holography. Symmetric orbifolds in the large N limit have partition functions which are consistent with an emergent space-time string theory with Lstring ∼ LAdS. For supersymmetric CFTs, the elliptic genus can serve as a sensitive probe of whether the SCFT admits a large radius gravity description with Lstring ≪ LAdS after one deforms away from the symmetric orbifold point in moduli space. We discuss several classes of constructions whose elliptic genera strongly hint that gravity with LPlanck ≪ Lstring ≪ LAdS can emerge at suitable points in moduli space.",

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doi = "10.1007/JHEP05(2016)158",

language = "English (US)",

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T1 - Emergent space-time and the supersymmetric index

AU - Benjamin, Nathan

AU - Kachru, Shamit

AU - Keller, Christoph A.

AU - Paquette, Natalie M.

PY - 2016/5/1

Y1 - 2016/5/1

N2 - Abstract: It is of interest to find criteria on a 2d CFT which indicate that it gives rise to emergent gravity in a macroscopic 3d AdS space via holography. Symmetric orbifolds in the large N limit have partition functions which are consistent with an emergent space-time string theory with Lstring ∼ LAdS. For supersymmetric CFTs, the elliptic genus can serve as a sensitive probe of whether the SCFT admits a large radius gravity description with Lstring ≪ LAdS after one deforms away from the symmetric orbifold point in moduli space. We discuss several classes of constructions whose elliptic genera strongly hint that gravity with LPlanck ≪ Lstring ≪ LAdS can emerge at suitable points in moduli space.

AB - Abstract: It is of interest to find criteria on a 2d CFT which indicate that it gives rise to emergent gravity in a macroscopic 3d AdS space via holography. Symmetric orbifolds in the large N limit have partition functions which are consistent with an emergent space-time string theory with Lstring ∼ LAdS. For supersymmetric CFTs, the elliptic genus can serve as a sensitive probe of whether the SCFT admits a large radius gravity description with Lstring ≪ LAdS after one deforms away from the symmetric orbifold point in moduli space. We discuss several classes of constructions whose elliptic genera strongly hint that gravity with LPlanck ≪ Lstring ≪ LAdS can emerge at suitable points in moduli space.

KW - AdS-CFT Correspondence

KW - Conformal and W Symmetry

KW - Field Theories in Lower Dimensions

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DO - 10.1007/JHEP05(2016)158

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JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 5

M1 - 158

ER -

Emergent space-time and the supersymmetric index

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Keywords

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