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arXiv · 2512.18743

Quantum Hamiltonian reductions for W-algebras

Justine Fasquel·Shigenori Nakatsuka
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Abstract

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.

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BibTeXRIS

Justine Fasquel, Shigenori Nakatsuka. 2025-12-21. Quantum Hamiltonian reductions for W-algebras. https://arxiv.org/abs/2512.18743

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