Classical/quantum integrability in non-compact sector of AdS/CFT

Details Classical/quantum integrability in non-compact sector of AdS/CFT Classical/quantum integrability in non-compact sector of AdS/CFT

2004-10-10

arxiv.org/abs/hep-th/0410105v3

JHEP0410:060,2004

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, 1 figure; v2: unphysical windings around the time direction eliminated; v3: dicsussion of finite-size corrections re

Scientific paper

10.1088/1126-6708/2004/10/060

We discuss non-compact SL(2,R) sectors in N=4 SYM and in AdS string theory
and compare their integrable structures. We formulate and solve the
Riemann-Hilbert problem for the finite gap solutions of the classical sigma
model and show that at one loop it is identical to the classical limit of Bethe
equations of the spin (-1/2) chain for the dilatation operator of SYM.

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