English

What is a lattice W-algebra?

Quantum Algebra 2022-06-30 v1 Mathematical Physics math.MP Symplectic Geometry Exactly Solvable and Integrable Systems

Abstract

We employ the Poisson-Lie group of pseudo-difference operators to define lattice analogs of classical WmW_m-algebras. We then show that the so-constructed algebras coincide with the ones given by discrete Drinfeld-Sokolov type reduction.

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Cite

@article{arxiv.2206.14757,
  title  = {What is a lattice W-algebra?},
  author = {Anton Izosimov and Gloria Marí Beffa},
  journal= {arXiv preprint arXiv:2206.14757},
  year   = {2022}
}

Comments

28 pages

R2 v1 2026-06-24T12:08:35.796Z