A relation between approaches to integrability in superconformal Yang-Mills theory

Louise Dolan; Chiara R. Nappi; Edward Witten

doi:10.1088/1126-6708/2003/10/017

A relation between approaches to integrability in superconformal Yang-Mills theory

Louise Dolan, Chiara R. Nappi, Edward Witten

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

188 Scopus citations

Abstract

We make contact between the infinite-dimensional non-local symmetry of the type-IIB superstring on AdS₅ × S⁵ and a non-abelian infinite-dimensional symmetry algebra for the weakly coupled superconformal gauge theory. We explain why the planar limit of the one-loop dilatation operator is the hamiltonian of a spin chain, and show that it commutes with the g²N = 0 limit of the non-abelian charges.

Original language	English (US)
Pages (from-to)	335-351
Number of pages	17
Journal	Journal of High Energy Physics
Volume	7
Issue number	10
DOIs	https://doi.org/10.1088/1126-6708/2003/10/017
State	Published - Oct 1 2003
Externally published	Yes

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Keywords

1/N Expansion
AdS-CFT and dS-CFT Correspondence
Conformal Field Models in String Theory
Global Symmetries

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10.1088/1126-6708/2003/10/017

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abstract = "We make contact between the infinite-dimensional non-local symmetry of the type-IIB superstring on AdS5 × S5 and a non-abelian infinite-dimensional symmetry algebra for the weakly coupled superconformal gauge theory. We explain why the planar limit of the one-loop dilatation operator is the hamiltonian of a spin chain, and show that it commutes with the g2N = 0 limit of the non-abelian charges.",

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AU - Nappi, Chiara R.

AU - Witten, Edward

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N2 - We make contact between the infinite-dimensional non-local symmetry of the type-IIB superstring on AdS5 × S5 and a non-abelian infinite-dimensional symmetry algebra for the weakly coupled superconformal gauge theory. We explain why the planar limit of the one-loop dilatation operator is the hamiltonian of a spin chain, and show that it commutes with the g2N = 0 limit of the non-abelian charges.

AB - We make contact between the infinite-dimensional non-local symmetry of the type-IIB superstring on AdS5 × S5 and a non-abelian infinite-dimensional symmetry algebra for the weakly coupled superconformal gauge theory. We explain why the planar limit of the one-loop dilatation operator is the hamiltonian of a spin chain, and show that it commutes with the g2N = 0 limit of the non-abelian charges.

KW - 1/N Expansion

KW - AdS-CFT and dS-CFT Correspondence

KW - Conformal Field Models in String Theory

KW - Global Symmetries

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JO - Journal of High Energy Physics

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A relation between approaches to integrability in superconformal Yang-Mills theory

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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