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

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.

17 pages, references added, minor corrections

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Cited by in corpus (17)

• Spinning strings and integrable spin chains in the AdS/CFT correspondence
• Semiclassical strings in Sasaki-Einstein manifolds and long operators in N=1 gauge theories
• 1/J corrections to semiclassical AdS/CFT states from quantum Landau-Lifshitz model
• Super spin chain coherent state actions and $Ad{S}_5\times S^5$ superstring
• Dilatation operator and the Super Yang-Mills duals of open strings on AdS Giant Gravitons
• Wound and Rotating Strings in AdS_5 x S^5
• Aspects of Non-Relativistic Quantum Field Theories
• Non-compact quantum spin chains as integrable stochastic particle processes
• Sigma model from SU(1,1|2) spin chain
• The Panorama of Spin Matrix Theory
• Three-parameter deformation of $\mathbb{R}\times S^3$ in the Landau-Lifshitz limit
• Non-planar spin bits beyond two loops
• The $\mathrm{SL}(2,\mathbb{R})$ Wess-Zumino-Novikov-Witten spin-chain $\sigma$-model
• The $SU(2)$ Wess-Zumino-Witten spin chain sigma model
• The SU(1|2) and SU(2|2) Sectors from Superstrings in AdS5 x S5
• Conformal Mapping of Non-Lorentzian Geometries in SU(1,2) Conformal Field Theory
• An integrable deformed Landau-Lifshitz model with particle production?