Open Spin Chains in Super Yang-Mills at Higher Loops: Some Potential Problems with Integrability

Details Open Spin Chains in Super Yang-Mills at Higher Loops: Some Potential Problems with Integrability Open Spin Chains in Super Yang-Mills at Higher Loops: Some Potential Problems with Integrability

2006-03-09

arxiv.org/abs/hep-th/0603067v2

JHEP0608:027,2006

Physics

High Energy Physics

High Energy Physics - Theory

28 pages. References added in revised version

Scientific paper

10.1088/1126-6708/2006/08/027

The super Yang-Mills duals of open strings attached to maximal giant gravitons are studied in perturbation theory. It is shown that non-BPS baryonic excitations of the gauge theory can be studied within the paradigm of open quantum spin chains even beyond the leading order in perturbation theory. The open spin chain describing the two loop mixing of non-BPS giant gravitons charged under an su(2) of the so(6) R symmetry group is explicitly constructed. It is also shown that although the corresponding open spin chain is integrable at the one loop order, there is a potential breakdown of integrability at two and higher loops. The study of integrability is performed using coordinate Bethe ansatz techniques.

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