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Journal Articles J.Phys.A Year : 2018

Matrix product solutions to the reflection equation from three dimensional integrability

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Atsuo Kuniba
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Abstract

We formulate a quantized reflection equation in which q-boson valued L and K matrices satisfy the reflection equation up to conjugation by a solution to the Isaev–Kulish 3D reflection equation. By forming its n-concatenation along the q-boson Fock space followed by suitable reductions, we construct families of solutions to the reflection equation in a matrix product form connected to the 3D integrability. They involve the quantum R matrices of the antisymmetric tensor representations of and the spin representations of , and .
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Dates and versions

cea-01748629 , version 1 (29-03-2018)

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Atsuo Kuniba, Vincent Pasquier. Matrix product solutions to the reflection equation from three dimensional integrability. J.Phys.A, 2018, 51 (25), pp.255204. ⟨10.1088/1751-8121/aac3b4⟩. ⟨cea-01748629⟩
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