Circular and Folded Multi-Spin Strings in Spin Chain Sigma Models

Details Circular and Folded Multi-Spin Strings in Spin Chain Sigma Models Circular and Folded Multi-Spin Strings in Spin Chain Sigma Models

2004-09-22

arxiv.org/abs/hep-th/0409217v1

JHEP0410:059,2004

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTeX, no figures

Scientific paper

10.1088/1126-6708/2004/10/059

From the SU(2) spin chain sigma model at the one-loop and two-loop orders we recover the classical circular string solution with two S^5 spins (J_1, J_2) in the AdS_5 x S^5 string theory. In the SL(2) sector of the one-loop spin chain sigma model we explicitly construct a solution which corresponds to the folded string solution with one AdS_5 spin S and one S^5 spin J. In the one-loop general sigma model we demonstrate that there exists a solution which reproduces the energy of the circular constant-radii string solution with three spins (S_1, S_2, J).

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