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Matrix product solutions to the reflection equation from three dimensional integrability

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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Submitted on : Thursday, March 29, 2018 - 11:43:33 AM
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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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