The two-loop dilatation operator of N=4 super Yang-Mills theory in the SO(6) sector

被引：0

作者：

Georgiou, George ^{[1
]}

Gili, Valeria ^{[2
]}

Plefka, Jan ^{[3
,4
]}

机构：

[1] Demokritos Natl Res Ctr, Inst Nucl Phys, GR-15310 Athens, Greece

[2] Queen Mary Univ London, Sch Phys, Ctr Res String Theory, London E1 4NS, England

[3] Univ Berlin, Inst Phys, D-12489 Berlin, Germany

[4] Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USA

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2011年 / 12期

基金：

美国国家科学基金会;

关键词：

Extended Supersymmetry; AdS-CFT Correspondence; INTEGRABILITY;

D O I：

10.1007/JHEP12(2011)075

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

The dilatation operator of planar N = 4 super Yang-Mills in the pure scalar SO(6) sector is derived at the two-loop order. Representation theory allows for eight free coefficients in an ansatz for the corresponding spin-chain hamiltonian acting on three adjacent scalar states. While four out of these follow from the known SU(2 vertical bar 3) sector two-loop dilatation operator, the remaining four coefficients are derived by diagrammatic techniques and a match to the known dimension of a length three primary operator. Finally, comments upon the use of this result for the evaluation of three-point structure functions of scalar operators at the one-loop order are given.

引用

页数：16

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