Landau-Lifshitz sigma-models, fermions and the AdS/CFT correspondence
| dc.creator | Stefanski Jr, B. | |
| dc.date | 2007-04-11 | |
| dc.date.accessioned | 2026-07-07T10:35:31Z | |
| dc.date.available | 2026-07-07T10:35:31Z | |
| dc.description | We define Landau-Lifshitz sigma models on general coset space $G/H$, with $H$ a maximal stability sub-group of $G$. These are non-relativistic models that have $G$-valued Nöther charges, local $H$ invariance and are classically integrable. Using this definition, we construct the $PSU(2,2|4)/PS(U(2|2)^2)$ Landau-Lifshitz sigma-model. This sigma model describes the thermodynamic limit of the spin-chain Hamiltonian obtained from the complete one-loop dilatation operator of the N=4 super Yang-Mills (SYM) theory. In the second part of the paper, we identify a number of consistent truncations of the Type IIB Green-Schwarz action on $AdS_5\times S^5$ whose field content consists of two real bosons and 4,8 or 16 real fermions. We show that $κ$-symmetry acts trivially in these sub-sectors. In the context of the large spin limit of the AdS/CFT correspondence, we map the Lagrangians of these sub-sectors to corresponding truncations of the $PSU(2,2|4)/PS(U(2|2)^2)$ Landau-Lifshitz sigma-model. | |
| dc.description | 42 pages | |
| dc.identifier | https://arxiv.org/abs/0704.1460 | |
| dc.identifier | http://arxiv.org/abs/0704.1460 | |
| dc.identifier | JHEP0707:009,2007 | |
| dc.identifier | doi:10.1088/1126-6708/2007/07/009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/179769 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Landau-Lifshitz sigma-models, fermions and the AdS/CFT correspondence | |
| dc.type | text |