Heisenberg spin chains based on sl(2|1) symmetry

Abstract

We find solutions of the Yang-Baxter equation acting on tensor product of arbitrary representations of the superalgebra sl(2|1). Based on these solutions we construct the local Hamiltonians for integrable homogeneous periodic chains and open chains.

28 pages LATEX

References in corpus (5)

• Baryon Distribution Amplitudes in QCD
• Integrability of three-particle evolution equations in QCD
• Integrability of a t-J model with impurities
• Algebraic properties of an integrable t-J model with impurities
• Doping of a spin-1 chain: integrable model

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• Superconformal operators in Yang-Mills theories on the light-cone
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• Parton interactions in the Bjorken limit of QCD
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• Algebraic Bethe ansatz for an integrable U_q[Sl(n|m)] vertex model with mixed representations
• Universal R operator with Jordanian deformation of conformal symmetry
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• Superfield twist-$2$ operators in $\mathcal{N}=1$ SCFTs and their renormalization-group improved generating functional in $\mathcal{N}=1$ SYM theory