Classical Open String Integrability

Details Classical Open String Integrability Classical Open String Integrability

2006-12-05

arxiv.org/abs/hep-th/0612038v1

JHEP 0704:065,2007

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, JHEP style

Scientific paper

10.1088/1126-6708/2007/04/065

We present a simple procedure to construct non-local conserved charges for classical open strings on coset spaces. This is done by including suitable reflection matrices on the classical transfer matrix. The reflection matrices must obey certain conditions for the charges to be conserved and in involution. We then study bosonic open strings on $AdS_5\times S^5$. We consider boundary conditions corresponding to Giant Gravitons on $S^5$, $AdS_4\times S^2$ D5-branes and $AdS_5 \times S^3$ D7-branes. We find that we can construct the conserved charges for the full bosonic string on a Maximal Giant Graviton or a D7-brane. For the D5-brane, we find that this is possible only in a SU(2) sub-sector of the open string. Moreover, the charges can not be constructed at all for non-maximal Giant Gravitons. We discuss the interpretation of these results in terms of the dual gauge theory spin chains.

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