Pith. sign in

REVIEW 3 cited by

An Introduction to Yangian Symmetries

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv hep-th/9211133 v2 pith:CNLHMQAA submitted 1992-11-30 hep-th

Denis Bernard This is my paper · ORCID
classification hep-th
keywords yangiansquantumsymmetriesalternativedigressionfieldheisenbergnon-abelian
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

We review some aspects of the quantum Yangians as symmetry algebras of two-dimensional quantum field theories. The plan of these notes is the following: 1 - The classical Heisenberg model: Non-Abelian symmetries; The generators of the symmetries and the semi-classical Yangians; An alternative presentation of the semi-classical Yangians; Digression on Poisson-Lie groups. 2 - The quantum Heisenberg chain: Non-Abelian symmetries and the quantum Yangians; The transfer matrix and an alternative presentation of the Yangians; Digression on the double Yangians. Talk given at the "Integrable Quantum Field Theories" conference held at Come, Italy , September 13-19, 1992.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Ultralocal Lax connection for para-complex $\mathbb{Z}_T$-cosets

    hep-th 2019-09 conditional novelty 7.0 of 10

    Classical sigma-models on para-complex Z_T-cosets admit an ultralocal, gauge-invariant Lax connection whose light-cone components Poisson-commute, extending earlier results for hermitian symmetric spaces.

  2. The classical Yangian symmetry of Auxiliary Field Sigma Models

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    Generalizes the BIZZ recursive procedure and provides sufficient conditions under which auxiliary field deformations of integrable sigma models retain classical Yangian symmetry and Maillet bracket structure.

  3. Gauging or extending bulk and boundary conformal field theories: Application to bulk and domain wall problem in topological matter and their descriptions by (mock) modular covariant

    hep-th 2024-12 conditional novelty 5.0 of 10

    New classes of boundary and coupled conformal field theories are constructed from Z_N gauging, with a proposed dictionary to topological order, nonchiral anyons, and domain walls.

Pith tools