The sl(N) twisted Yangian: bulk-boundary scattering & defects

Anastasia Doikou; Jean Avan; Nikos Karaiskos

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The sl(N) twisted Yangian: bulk-boundary scattering & defects

Jean Avan, Anastasia Doikou, Nikos Karaiskos

Mathematical Physics · Submitted 19 Dec 2014

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The authors' main claim Local defects are also implemented in the model and the associated transmission amplitudes are derived through the relevant Bethe ansatz equations.

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We consider the sl(N) twisted Yangian quantum spin chain. In particular, we study the bulk and boundary scattering of the model via the solution of the Bethe ansatz equations in the thermodynamic limit. Local defects are also implemented in the model and the associated transmission amplitudes are derived through the relevant Bethe ansatz equations.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We consider the sl(N) twisted Yangian quantum spin chain.	contribution 0.50	0.69	0.04	asserted 0.75
s1	In particular, we study the bulk and boundary scattering of the model via the solution of the Bethe ansatz equations in the thermodynamic limit.	contribution 0.76	0.92	0.13	asserted 0.99
s2	Local defects are also implemented in the model and the associated transmission amplitudes are derived through the relevant Bethe ansatz equations.	contribution 0.78	0.93	0.17	asserted 1.00

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Original abstract

We consider the sl(N) twisted Yangian quantum spin chain. In particular, we study the bulk and boundary scattering of the model via the solution of the Bethe ansatz equations in the thermodynamic limit. Local defects are also implemented in the model and the associated transmission amplitudes are derived through the relevant Bethe ansatz equations.

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4 arXiv papers cite this in 9 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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Most of this material is described in more detail in [ref] .

Scattering in Twisted Yangians · Introduction · 0.96
Twisted Yangian based models, known as one-dimensional “soliton non-preserving” open spin chains, were first investigated by means of the analytic Bethe ansatz techniques in [ref] and more recently in [ref] .

Bethe vectors and recurrence relations for twisted Yangian based models · Introduction · 0.98
Such integrable models have “soliton non-preserving” boundary conditions and can be described by a Hamiltonian of an alternating type; they have been intensively studied using techniques of the analytic Bethe ansatz in [ref] .

Nested algebraic Bethe ansatz for open spin chains with even twisted Yangian symmetry · Introduction · 0.88

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We have shown that the factorization of the bulk scattering, such as was first observed in the $sl(3)$ twisted Yangian case [ref] , is valid in the generic case as well.

Scattering matrices in the sl(3) twisted Yangian · Scattering amplitudes · 0.96

Cites as support 1 paper

Indeed the validity of the factorization (and the quantization condition for that matter) at the matrix level as well as the form of the $S$ and $S̅$ matrices are confirmed by the underlying algebra as well as the quantization condition (for similar algebraic arguments see [ref] , [ref] ).

Scattering matrices in the sl(3) twisted Yangian · Scattering amplitudes · 0.98

Cites as background 1 paper

It is worth noting that the a single excitations here is associated to representations of the underlying exact symmetry which is $𝔰𝔬(n)$ it is indeed a “folded” algebra (a folding at the level of Dynkin diagram occurs) compared to $𝔰𝔩(2n), 𝔰𝔩(2n+1)$ as extensively discussed in [ref] , see also as similar discussion and examples on the quantum numbers of excitations in [ref] .

Scattering matrices in the sl(3) twisted Yangian · The energy · 0.91

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