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

نویسندگان

  • S. Bellucci
  • J. F. Morales
چکیده

We derive the coherent state representation of the integrable spin chain Hamil-tonian 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 × S 5 .

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تاریخ انتشار 2008