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Superstring sigma models from spin chains: the SU(1,1|1) case

S. Bellucci·P. -Y. Casteill·J. F. Morales
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Abstract

We derive the coherent state representation of the integrable spin chain Hamiltonian with non-compact supersymmetry group G=SU(1,1|1). By passing to the continuous limit, we find a spin chain sigma model describing a string moving on the supercoset G/H, H being the stabilizer group. The action is written in a manifestly G-invariant form in terms of the Cartan forms and the string coordinates in the supercoset. The spin chain sigma model is shown to agree with that following from the Green-Schwarz action describing two-charged string spinning on AdS_5 x S^5.

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S. Bellucci, P. -Y. Casteill, J. F. Morales. 2005-04-28. Superstring sigma models from spin chains: the SU(1,1|1) case. https://doi.org/10.1016/j.nuclphysb.2005.09.012

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