# The SU(3) spin chain sigma model and string theory

@article{Hernndez2004TheSS, title={The SU(3) spin chain sigma model and string theory}, author={Rafael Hern{\'a}ndez and Esperanza L{\'o}pez}, journal={Journal of High Energy Physics}, year={2004}, volume={2004}, pages={052-052} }

The ferromagnetic integrable SU(3) spin chain provides the one loop anomalous dimension of single trace operators involving the three complex scalars of N = 4 supersymmetric Yang-Mills. We construct the non-linear sigma model describing the continuum limit of the SU(3) spin chain. We find that this sigma model corresponds to a string moving with large angular momentum in the five-sphere in AdS5 × S 5 . The energy and spectrum of fluctuations for rotating circular strings with angular momenta…

## 143 Citations

### Spin chain sigma models with fermions

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We consider the scalar operators corresponding to semiclassical string states in AdS5 × S5 with the three angular momenta in S5 non-trivial. The string states recieve quantum corrections and we study…

## 44 References

### The su ( 2 | 3 ) Dynamic Spin Chain

- Physics
- 2003

The complete one-loop, planar dilatation operator of the N = 4 supercon-formal gauge theory was recently derived and shown to be integrable. Here, we present further compelling evidence for a…

### Spin chains and string theory.

- PhysicsPhysical review letters
- 2004

This work gives a map between the mean value of the spin in the boundary theory and the position of the string in the bulk, and shows how a string action can emerge from a gauge theory in the large-N limit.

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We discuss the string picture behind the integrable spin chains governing the evolution equations in the Yang-Mills theory. We show that the one-loop correction to the dilatation operator in the N=4…

### Higher Conserved Charges and Integrability for Spinning Strings in AdS(5) x S(5)

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### a Note on Spin Chain/string Duality

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### Matching Higher Conserved Charges for Strings and Spins

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