Work

Super-Hamiltonians for super-Macdonald polynomials

Year: 2025

Type: article

Abstract: The Macdonald finite-difference Hamiltonian is lifted to a super-generalization. In addition to canonical bosonic time variables p k new Grassmann time variables θ k are introduced, and the Hamiltonian is represented as a differential operator acting on a space of functions of both types of variables p k and θ k . Eigenfunctions for this Hamiltonian are a suitable generalization of Macdonald polynomials to super-Macdonald polynomials discussed earlier in the literature. Peculiarities of the construction in comparison to the canonical bosonic case are discussed.

Source: Physics Letters B

DOI: 10.1016/j.physletb.2025.139481

Authors: Dmitry Galakhov, Alexei Morozov, Nikita Tselousov

Institutions: Moscow Institute of Physics and Technology, Kurchatov Institute, Institute of Earthquake Prediction Theory and Mathematical Geophysics, Institute for Information Transmission Problems, Institute for Theoretical and Experimental Physics

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Foundation for the Advancement of Theoretical Physics and Mathematics, Russian Academy of Sciences

OpenAlex ID: W4409657556

FWCI: 1.762

Cites: 37

Cited by: 1

Related to: 10