A note on spin chain/string duality

Details A note on spin chain/string duality A note on spin chain/string duality

2004-03-11

arxiv.org/abs/hep-th/0403121v2

Int.J.Mod.Phys. A20 (2005) 4337

Physics

High Energy Physics

High Energy Physics - Theory

v.2 One reference added, typos corrected, 21 pages

Scientific paper

10.1142/S0217751X05020975

Recently a significant progress in matching the anomalous dimensions of certain class of operators in N=4 SYM theory and rotating strings was made. The correspondence was established mainly using Bethe ansatz technique applied to the spin s Heisenberg model. In a recent paper Kruczenski (hep-th/0311203) suggested to solve the Heisenberg model by using of sigme model approach. In this paper we generalize the solutions obtained by Kruczenski and comment on the dual string theory. It turns out that our solutions are related to the so called Neumann-Rosochatius integrable system. We comment on the spin chain solutions and on the string/gauge theory correspondence.

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