Quantum Hamiltonian reductions for W-algebras
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909980828893184 |
|---|---|
| author | Fasquel, Justine Nakatsuka, Shigenori |
| author_facet | Fasquel, Justine Nakatsuka, Shigenori |
| contents | In this paper, we establish a general criterion for good pairs, namely pairs consisting of a nilpotent orbit and an even good grading in a simple Lie algebra, which guarantees the existence of a quantum Hamiltonian reduction between associated affine W-algebras. In particular, we show that for type A, any two affine W-algebras associated with two adjacent nilpotent orbits are related by quantum Hamiltonian reductions in full generality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_18743 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Hamiltonian reductions for W-algebras Fasquel, Justine Nakatsuka, Shigenori Representation Theory In this paper, we establish a general criterion for good pairs, namely pairs consisting of a nilpotent orbit and an even good grading in a simple Lie algebra, which guarantees the existence of a quantum Hamiltonian reduction between associated affine W-algebras. In particular, we show that for type A, any two affine W-algebras associated with two adjacent nilpotent orbits are related by quantum Hamiltonian reductions in full generality. |
| title | Quantum Hamiltonian reductions for W-algebras |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2512.18743 |