Fusion for the one-dimensional Hubbard model

Abstract

We discuss a formulation of the fusion procedure for integrable models which is suitable for application to non-standard R-matrices. It allows for construction of bound state R-matrices for AdS/CFT worldsheet scattering or equivalently for the one-dimensional Hubbard model. We also discuss some peculiar cases that arise in these models.

17 pages

References in corpus (6)

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• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring
• Magnon Bound States and the AdS/CFT Correspondence
• The S-matrix of String Bound States
• The Bethe ansatz approach for factorizable centrally extended S-matrices

Cited by in corpus (7)

• Monodromy Bootstrap for SU(2|2) Quantum Spectral Curves: From Hubbard model to AdS3/CFT2
• Lectures on S-matrices and Integrability
• Separation of variables bases for integrable $g{l}_{\mathcal{M}|\mathcal{N}}$ and Hubbard models
• Integrable deformations of AdS/CFT
• Algebraic Geometry methods associated to the one-dimensional Hubbard model
• A tale of two Bethe ansätze
• Exactly Solved Models and Beyond: a special issue in honour of R J Baxter's 75th birthday