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arXiv · hep-th/0601074

Slow-string limit and "antiferromagnetic" state in AdS/CFT

R. Roiban·A. Tirziu·A. A. Tseytlin
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Abstract

We discuss a slow-moving limit of a rigid circular equal-spin solution on R x S^3. We suggest that the solution with the winding number equal to the total spin approximates the quantum string state dual to the maximal-dimension ``antiferromagnetic'' state of the SU(2) spin chain on the gauge theory side. An expansion of the string action near this solution leads to a weakly coupled system of a sine-Gordon model and a free field. We show that a similar effective Hamiltonian appears in a certain continuum limit from the half-filled Hubbard model that was recently suggested to describe the all-order dilatation operator of the dual gauge theory in the SU(2) sector. We also discuss some other slow-string solutions with one spin component in AdS_5 and one in S^5.

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R. Roiban, A. Tirziu, A. A. Tseytlin. 2006-03-22. Slow-string limit and "antiferromagnetic" state in AdS/CFT. https://doi.org/10.1103/physrevd.73.066003

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