The Bound State S-matrix of the Deformed Hubbard Chain

de Leeuw, Marius; Regelskis, Vidas; Matsumoto, Takuya

doi:10.1007/JHEP04(2012)021

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The Bound State S-matrix of the Deformed Hubbard Chain

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de Leeuw, Marius
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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de Leeuw, M., Regelskis, V., & Matsumoto, T. (2012). The Bound State S-matrix of the Deformed Hubbard Chain. Journal of high energy physics: JHEP, 2012(4): 021. doi:10.1007/JHEP04(2012)021.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0012-1BCD-4

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.