On a complete solution of the quantum Dell system

A bstract The mother functions for the eigenfunctions of the Koroteev-Shakirov version of quantum double-elliptic (Dell) Hamiltonians can be presented as infinite series in Miwa variables, very similar to the recent conjecture due to J. Shiraishi. Further studies should clear numerous remaining obst...

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Published inThe journal of high energy physics Vol. 2020; no. 4; pp. 1 - 31
Main Authors Awata, Hidetoshi, Kanno, Hiroaki, Mironov, Andrei, Morozov, Alexei
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2020
Springer Nature B.V
SpringerOpen
Subjects
Classical and Quantum Gravitation
Duality in Gauge Field Theories
Eigenvectors
Elementary Particles
Hamiltonian functions
High energy physics
Infinite series
Integrable Hierarchies
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Supersymmetric Gauge Theory
Topological Strings
Topological Strings
Duality in Gauge Field Theories
Integrable Hierarchies
Supersymmetric Gauge Theory
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Summary:A bstract The mother functions for the eigenfunctions of the Koroteev-Shakirov version of quantum double-elliptic (Dell) Hamiltonians can be presented as infinite series in Miwa variables, very similar to the recent conjecture due to J. Shiraishi. Further studies should clear numerous remaining obstacles and thus solve the long-standing problem of explicitly constructing a Dell system, the top member of the Calogero-Moser-Ruijsenaars system, with the P Q -duality fully explicit at the elliptic level.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP04(2020)212