Orthogonality of super‐Jack polynomials and a Hilbert space interpretation of deformed Calogero–Moser–Sutherland operators

Author:

Atai Farrokh1,Hallnäs Martin2,Langmann Edwin3

Affiliation:

1. Department of MathematicsKobe UniversityRokko Kobe 657‐8501 Japan

2. Department of Mathematical SciencesChalmers University of Technology and the University of GothenburgSE‐412 96 Gothenburg Sweden

3. Department of PhysicsKTH Royal Institute of TechnologySE‐106 91 Stockholm Sweden

Funder

Vetenskapsrådet

Japan Society for the Promotion of Science

Publisher

Wiley

Subject

General Mathematics

Reference33 articles.

1. Deformed Calogero-Sutherland model and fractional quantum Hall effect

2. Excited states of the Calogero-Sutherland model and singular vectors of the WN algebra

3. Model Fractional Quantum Hall States and Jack Polynomials

4. New integrable generalizations of Calogero–Moser quantum problem

5. Hermite and Laguerre symmetric functions associated with operators of Calogero‐Moser‐Sutherland type;Desrosiers P.;SIGMA Symmetry Integrability Geom. Methods Appl.,2012

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1. Superconformal Blocks in Diverse Dimensions and BC Symmetric Functions;Communications in Mathematical Physics;2023-06-30

2. New Orthogonality Relations for Super-Jack Polynomials and an Associated Lassalle–Nekrasov Correspondence;Constructive Approximation;2023-03-17

3. Defects at the Intersection: The Supergroup Side;Springer Proceedings in Mathematics & Statistics;2022

4. Super-Macdonald Polynomials: Orthogonality and Hilbert Space Interpretation;Communications in Mathematical Physics;2021-07-31

5. Quantum integrable systems from supergroup gauge theories;Journal of High Energy Physics;2020-09

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