Sigma model from SU(1,1|2) spin chain
| dc.creator | Bellucci, S. | |
| dc.creator | Casteill, P. -Y. | |
| dc.date | 2006-02-01 | |
| dc.date | 2006-02-13 | |
| dc.date.accessioned | 2026-07-07T10:45:50Z | |
| dc.date.available | 2026-07-07T10:45:50Z | |
| dc.description | We derive the coherent state representation of the integrable spin chain Hamiltonian with supersymmetry group $SU(1,1|2)$. By the use of a projected Hamiltonian onto bosonic states, we give explicitly the action of the Hamiltonian on $SU(2)\times SL(2)$ coherent states. Passing to the continuous limit, we find that the corresponding bosonic sigma model is the sum of the known SU(2) and SL(2) ones, and thus it gives a string spinning fast on $S^1_{ϕ_1}\times S^1_{ϕ_1}\times S^1_{ϕ_2}$ in $\rm{AdS}_5 \times S^5$. The full sigma model on the supercoset $SU(1,1|2)/SU(1|1)^2$ is given. | |
| dc.description | 20 pages, no figures, 4 tables, 1 appendix; typos corrected, references added | |
| dc.identifier | https://arxiv.org/abs/hep-th/0602007 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0602007 | |
| dc.identifier | Nucl.Phys.B741:297-312,2006 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2006.02.021 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/183037 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Sigma model from SU(1,1|2) spin chain | |
| dc.type | text |