Superstring sigma models from spin chains: the SU(1,1|1) case
High Energy Physics - Theory
2016-09-06 v2
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.
Cite
@article{arxiv.hep-th/0503159,
title = {Superstring sigma models from spin chains: the SU(1,1|1) case},
author = {S. Bellucci and P. -Y. Casteill and J. F. Morales},
journal= {arXiv preprint arXiv:hep-th/0503159},
year = {2016}
}
Comments
17 pages, references added, minor corrections