Exact Spectrum of Anomalous Dimensions of Planar N=4 Supersymmetric Yang-Mills Theory

被引：263

作者：

Gromov, Nikolay ^{[1
,2
,3
]}

Kazakov, Vladimir ^{[4
,5
]}

Vieira, Pedro ^{[6
,7
]}

机构：

[1] DESY Theory, Hamburg, Germany

[2] Univ Hamburg, Inst Theoret Phys 2, D-2000 Hamburg, Germany

[3] St Petersburg INP, St Petersburg, Russia

[4] Ecole Normale Super, LPT, F-75231 Paris 5, France

[5] Univ Paris 06, Paris, France

[6] Albert Einstein Inst, Max Planck Inst Gravitat Phys, D-14476 Potsdam, Germany

[7] Univ Porto, Fac Ciencias, Ctr Fica Porto, P-4169007 Oporto, Portugal

来源：

PHYSICAL REVIEW LETTERS | 2009年 / 103卷 / 13期

关键词：

BETHE-ANSATZ; GAUGE-THEORY; EQUATIONS;

D O I：

10.1103/PhysRevLett.103.131601

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a set of functional equations defining the anomalous dimensions of arbitrary local single trace operators in planar N = 4 supersymmetric Yang-Mills theory. It takes the form of a Y system based on the integrability of the dual superstring sigma model on the five-dimensional anti-de Sitter space (AdS(5) X S-5) background. This Y system passes some very important tests: it incorporates the full asymptotic Bethe ansatz at large length of operator L, including the dressing factor, and it confirms all recently found wrapping corrections. The recently proposed AdS(4)/three-dimensional conformal field theory duality is also treated in a similar fashion.

引用

页数：4

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