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On the 2D zero modes' algebra of the SU(n) WZNW model
Mathematical Physics · Submitted 17 Jan 2014
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We review earlier results about the SU(n) WZNW Q-algebra and its Fock representation for n=2 and display the first steps towards their generalization to higher n.
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The abstract, sentence by sentence
A quantum group covariant extension of the chiral parts of the Wess-Zumino-Novikov-Witten model on a compact Lie group G gives rise to two matrix algebras with non-commutative entries. These are generated by "chiral zero modes" which combine in the 2D model into "Q-operators" which encode information about the internal symmetry and the fusion ring. We review earlier results about the SU(n) WZNW Q-algebra and its Fock representation for n=2 and display the first steps towards their generalization to higher n.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | A quantum group covariant extension of the chiral parts of the Wess-Zumino-Novikov-Witten model on a compact Lie group G gives rise to two matrix algebras with non-commutative entries. | result 0.43 | 0.45 | 0.34 | asserted 1.00 |
| s1 | These are generated by "chiral zero modes" which combine in the 2D model into "Q-operators" which encode information about the internal symmetry and the fusion ring. | background 0.41 | 0.31 | 0.22 | asserted 1.00 |
| s2 | We review earlier results about the SU(n) WZNW Q-algebra and its Fock representation for n=2 and display the first steps towards their generalization to higher n. | contribution 0.97 | 0.81 | 0.18 | asserted 0.98 |
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The paper
Original abstract
A quantum group covariant extension of the chiral parts of the Wess-Zumino-Novikov-Witten model on a compact Lie group G gives rise to two matrix algebras with non-commutative entries. These are generated by "chiral zero modes" which combine in the 2D model into "Q-operators" which encode information about the internal symmetry and the fusion ring. We review earlier results about the SU(n) WZNW Q-algebra and its Fock representation for n=2 and display the first steps towards their generalization to higher n.
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How the literature uses it
2 arXiv papers cite this in 7 sentences
Papers citing it · 6 sentences without a confident label
Cites it as background 1 paper
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We will recall here the basic assumptions about the chiral and $2D$ WZNW "zero modes" and their Fock representation, justified by the consistent application of the principles of canonical quantization (see e.g. [ref] ).
"Spread" restricted Young diagrams from a 2D WZNW dynamical quantum group · Definitions: $SU(n)_k$ WZNW zero modes · 0.90
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