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

Shijong Ryang
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Abstract

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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Shijong Ryang. 2004-09-22. Circular and Folded Multi-Spin Strings in Spin Chain Sigma Models. https://doi.org/10.1088/1126-6708%2F2004%2F10%2F059

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