Spontaneous symmetry breaking in the gl(N)-NLS hierarchy on the half line

E. Ragoucy; M. Mintchev; P. Sorba

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Spontaneous symmetry breaking in the gl(N)-NLS hierarchy on the half line

M. Mintchev, E. Ragoucy, P. Sorba

High Energy Physics - Theory · Submitted 9 Apr 2001

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We use this direct relationship between boundary conditions and symmetry content to establish the spontaneous breakdown of some internal symmetries, due to the boundary.

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arXiv IDhep-th/0104079 (version 1)

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CitationE. Ragoucy, M. Mintchev, P. Sorba. "Spontaneous symmetry breaking in the gl(N)-NLS hierarchy on the half line." arXiv:hep-th/0104079 (2001). https://pith.science/paper/FJWOKERE

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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.05 · mentions code or data availability 0.02.

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arXiv listing abstract v1. Results and the main claim are underlined; show every role.

We describe an algebraic framework for studying the symmetry properties of integrable quantum systems on the half line. The approach is based on the introduction of boundary operators. It turns out that these operators both encode the boundary conditions and generate integrals of motion. We use this direct relationship between boundary conditions and symmetry content to establish the spontaneous breakdown of some internal symmetries, due to the boundary.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We describe an algebraic framework for studying the symmetry properties of integrable quantum systems on the half line.	contribution 0.95	0.89	0.04	asserted 0.99
s1	The approach is based on the introduction of boundary operators.	method 0.95	0.70	0.03	asserted 1.00
s2	It turns out that these operators both encode the boundary conditions and generate integrals of motion.	result 0.76	0.81	0.09	asserted 1.00
s3	We use this direct relationship between boundary conditions and symmetry content to establish the spontaneous breakdown of some internal symmetries, due to the boundary.	result 0.96	0.93	0.88	asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.51 · evidence from proof or derivation 0.93.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

We describe an algebraic framework for studying the symmetry properties of integrable quantum systems on the half line. The approach is based on the introduction of boundary operators. It turns out that these operators both encode the boundary conditions and generate integrals of motion. We use this direct relationship between boundary conditions and symmetry content to establish the spontaneous breakdown of some internal symmetries, due to the boundary.

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4 arXiv papers cite this in 5 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

Papers citing it

Uses its method or tool 1 paper

Our construction is based on the point-like character of the boundary interactions at the vertex, the theory of self-adjoint extension of Hermitian operators on graphs [ref] - [ref] and the algebraic technique [ref] , [ref] , [ref] - [ref] for dealing with defects in QFT.

Quantum Field Theory on Star Graphs · Outlook and perspectives · 0.97

Cites it as background 3 papers

The algebras associated with the reflection equation were originally introduced by Sklyanin [ref] to describe integrable systems with the boundary conditions; see also [ref] for more information on such algebras and their applications.

Double Yangian and reflection algebras of the Lie superalgebra $\mathfrak{gl}_{m|n}$ · Introduction · 1.00
Later on, different classes of algebras defined via relations of the form similar to or same as [ref] were extensively studied; see, e.g., [ref] .

Quasi modules for the quantum affine vertex algebra in type $A$ · Introduction · 0.97
For more details the reader may consult [ref] and references therein.

Quantum current algebras associated with rational $R$-matrix · Introduction · 1.00

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