Stefanski, B. (2007). LandauLifshitz sigmamodels, fermions and the AdS/CFT correspondence. Journal of High Energy Physics, 2007(7), doi: 10.1088/11266708/2007/07/009

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Abstract
We define LandauLifshitz sigma models on general coset space $G/H$, with $H$ a maximal stability subgroup of $G$. These are nonrelativistic models that have $G$valued N\"other charges, local $H$ invariance and are classically integrable. Using this definition, we construct the $PSU(2,24)/PS(U(22)^2)$ LandauLifshitz sigmamodel. This sigma model describes the thermodynamic limit of the spinchain Hamiltonian obtained from the complete oneloop dilatation operator of the N=4 super YangMills (SYM) theory. In the second part of the paper, we identify a number of consistent truncations of the Type IIB GreenSchwarz 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 $\kappa$symmetry acts trivially in these subsectors. In the context of the large spin limit of the AdS/CFT correspondence, we map the Lagrangians of these subsectors to corresponding truncations of the $PSU(2,24)/PS(U(22)^2)$ LandauLifshitz sigmamodel.
Item Type:  Article 

Subjects:  Q Science > QC Physics 
Divisions:  School of Engineering & Mathematical Sciences > Department of Mathematical Science 
Related URLs:  
URI:  http://openaccess.city.ac.uk/id/eprint/1021 
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