The Bound State S-matrix of the Deformed Hubbard Chain

Abstract

In this work we use the q-oscillator formalism to construct the atypical (short) supersymmetric representations of the centrally extended Uq (su(2|2)) algebra. We then determine the S-matrix describing the scattering of arbitrary bound states. The crucial ingredient in this derivation is the affine extension of the aforementioned algebra.

44 pages, 3 figures. v2: minor corrections

References in corpus (14)

• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• String hypothesis for the AdS_5 x S^5 mirror
• Quantum Deformations of the One-Dimensional Hubbard Model
• Dyonic Giant Magnons
• The S-matrix of String Bound States
• The Bethe ansatz approach for factorizable centrally extended S-matrices
• A Secret Symmetry of the AdS/CFT S-matrix
• The Classical Trigonometric r-Matrix for the Quantum-Deformed Hubbard Chain
• Bound States, Yangian Symmetry and Classical r-matrix for the AdS5 x S5 Superstring
• Yangian symmetry of the Y=0 maximal giant graviton
• On the Scattering of Magnon Boundstates
• Universal blocks of the AdS/CFT Scattering Matrix

Cited by in corpus (16)

• S-matrix for strings on $\eta$-deformed AdS5 x S5
• Towards a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings
• Towards integrability for AdS3/CFT2
• q-Deformation of the AdS5 x S5 Superstring S-matrix and its Relativistic Limit
• The Quantum Deformed Mirror TBA I
• The spectral problem for strings on twisted AdS_5 x S^5
• The Quantum Deformed Mirror TBA II
• Yang-Baxter and the Boost: splitting the difference
• Restoring Unitarity in the q-Deformed World-Sheet S-Matrix
• Bound States of the q-Deformed AdS5 x S5 Superstring S-matrix
• Yangian of AdS3/CFT2 and its deformation
• Secret Symmetries in AdS/CFT
• Integrable deformations of AdS/CFT
• Stringy correlations on deformed $Ad{S}_3\times S^3$
• Reduced matrix elements of the orthosymplectic Lie superalgebra
• Integrable boundaries in AdS/CFT: revisiting the Z=0 giant graviton and D7-brane