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Spin chain sigma models with fermions

Rafael Hernandez·Esperanza Lopez
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Abstract

The complete one-loop planar dilatation operator of N=4 supersymmetric Yang-Mills is isomorphic to the hamiltonian of an integrable PSU(2,2|4) quantum spin chain. We construct the non-linear sigma models describing the continuum limit of the SU(1|3) and SU(2|3) sectors of the complete N=4 chain. We explicitely identify the spin chain sigma model with the one for a superstring moving in AdS_5xS^5 with large angular momentum along the five-sphere.

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Rafael Hernandez, Esperanza Lopez. 2005-01-19. Spin chain sigma models with fermions. https://doi.org/10.1088/1126-6708%2F2004%2F11%2F079

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