A note on gl_N type-I integrable defects
Anastasia Doikou
TL;DR
This paper investigates type-I quantum defects in the gl_N spin chain, focusing on their algebraic structure and deriving transmission matrices using Bethe ansatz, thus advancing understanding of integrable defect models.
Contribution
It introduces a new class of type-I defects linked to the harmonic oscillator algebra and computes their transmission matrices within the gl_N spin chain framework.
Findings
Transmission matrices for type-I defects are explicitly derived.
Type-I defects are associated with the generalized harmonic oscillator algebra.
The defect matrix corresponds to the vector non-linear Schrödinger model.
Abstract
Type-I quantum defects are considered in the context of the gl_N spin chain. The type-I defects are associated to the generalized harmonic oscillator algebra, and the chosen defect matrix is the one of the vector non-linear Schrodinger (NLS) model. The transmission matrices relevant to this particular type of defects are computed via the Bethe ansatz methodology.
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