Rational Ruijsenaars-Schneider model with cosmological constant
| Parent link: | Journal of High Energy Physics.— .— New York: Springer Science+Business Media LLC. Vol. 2025.— 2025.— Article number 110, 13 p. |
|---|---|
| Main Author: | Galajinsky A. V. Anton Vladimirovich |
| Summary: | Title screen The Ruijsenaars-Schneider models are integrable dynamical realizations of the Poincaré group in 1 + 1 dimensions, which reduce to the Calogero and Sutherland systems in the nonrelativistic limit. In this work, a possibility to construct a one-parameter deformation of the Ruijsenaars-Schneider models by uplifting the Poincaré algebra in 1 + 1 dimensions to the anti de Sitter algebra is studied. It is shown that amendments including a cosmological constant are feasible for the rational variant, while the hyperbolic and trigonometric systems are ruled out by our analysis. The issue of integrability of the deformed rational model is discussed in some detail. A complete proof of integrability remains a challenge Текстовый файл AM_Agreement |
| Language: | English |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2025)110 |
| Format: | Electronic Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=678736 |
Similar Items
Spinning extensions of D(2, 1; α) superconformal mechanics
by: Galajinsky A. V. Anton Vladimirovich
Published: (2019)
by: Galajinsky A. V. Anton Vladimirovich
Published: (2019)
Conformal mechanics inspired by extremal black holes in d = 4
by: Galajinsky A. V. Anton Vladimirovich
Published: (2011)
by: Galajinsky A. V. Anton Vladimirovich
Published: (2011)
N =4 ℓ-conformal Galilei superalgebras inspired by D(2, 1; α) supermultiplets
by: Galajinsky A. V. Anton Vladimirovich
Published: (2017)
by: Galajinsky A. V. Anton Vladimirovich
Published: (2017)
N= 1, 2, 3 ℓ-conformal Galilei superalgebras
by: Galajinsky A. V. Anton Vladimirovich
Published: (2021)
by: Galajinsky A. V. Anton Vladimirovich
Published: (2021)
Generalised point vortices on a plane
by: Galajinsky A. V. Anton Vladimirovich
Published: (2022)
by: Galajinsky A. V. Anton Vladimirovich
Published: (2022)
On two-dimensional integrable models with a cubic or quartic integral of motion
by: Galajinsky A. V. Anton Vladimirovich
Published: (2013)
by: Galajinsky A. V. Anton Vladimirovich
Published: (2013)
Remarks on integrability of N = 1 supersymmetric Ruijsenaars-Schneider three-body models
by: Galajinsky A. V. Anton Vladimirovich
Published: (2024)
by: Galajinsky A. V. Anton Vladimirovich
Published: (2024)
Lagrangian description of the partially massless higher spin N = 1 supermultiplets in AdS4 space
Published: (2019)
Published: (2019)
Quantum Solutions in Classical Electrodynamics and Its Connection with Geometrodynamics
by: Lasukov V. V. Vladimir Vasilievich
Published: (2020)
by: Lasukov V. V. Vladimir Vasilievich
Published: (2020)
Lowering the symmetry of pyrite crystals
by: Pshenichkin A. Ya. Anatoliy Yakovlevich
Published: (2016)
by: Pshenichkin A. Ya. Anatoliy Yakovlevich
Published: (2016)
Symmetry operators and separation of variables in the (2+1)-dimensional Dirac equation with external electromagnetic field
by: Shapovalov A. V. Aleksandr Vasilyevich
Published: (2018)
by: Shapovalov A. V. Aleksandr Vasilyevich
Published: (2018)
Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity
by: Shapovalov A. V. Aleksandr Vasilyevich
Published: (2007)
by: Shapovalov A. V. Aleksandr Vasilyevich
Published: (2007)
Transverse Evolution Operator for the Gross-Pitaevskii Equation in Semiclassical Approximation
by: Borisov A. V. Aleksey Vladimirovich
Published: (2005)
by: Borisov A. V. Aleksey Vladimirovich
Published: (2005)
Green's Function of a Hartree-Type Equation with a Quadratic Potential
by: Lisok A. L. Aleksandr Leonidovich
Published: (2004)
by: Lisok A. L. Aleksandr Leonidovich
Published: (2004)
Properties of Foamglass with Fullerene-Like Mesostructure
by: Semukhin B. S. Boris Semenovich
Published: (2020)
by: Semukhin B. S. Boris Semenovich
Published: (2020)
Supersymmetric Ruijsenaars–Schneider Models and Their Integrability
by: Galajinsky A. V. Anton Vladimirovich
Published: (2025)
by: Galajinsky A. V. Anton Vladimirovich
Published: (2025)
On OSp(N |2) superconformal mechanics
by: Chernyavsky D. V. Dmitry Viktorovich
Published: (2019)
by: Chernyavsky D. V. Dmitry Viktorovich
Published: (2019)
An application of the Maslov complex germ method to the one-dimensional nonlocal Fisher–KPP equation
by: Shapovalov A. V. Aleksandr Vasilyevich
Published: (2018)
by: Shapovalov A. V. Aleksandr Vasilyevich
Published: (2018)
Exact Solutions and Symmetry Operators for the Nonlocal Gross-Pitaevskii Equation with Quadratic Potential
by: Shapovalov A. V. Aleksandr Vasilyevich
Published: (2005)
by: Shapovalov A. V. Aleksandr Vasilyevich
Published: (2005)
Semiclassical Spectral Series Localized on a Curve for the Gross–Pitaevskii Equation with a Nonlocal Interaction
by: Kulagin A. E. Anton Evgenievich
Published: (2021)
by: Kulagin A. E. Anton Evgenievich
Published: (2021)
Lagrangian Formulation of Free Arbitrary N-Extended Massless Higher Spin Supermultiplets in 4D AdS Space
by: Bukhbinder I. L. Iosif Lvovich
Published: (2020)
by: Bukhbinder I. L. Iosif Lvovich
Published: (2020)
Approximate Solutions and Symmetry of a Two-Component Nonlocal Reaction-Diffusion Population Model of the Fisher-KPP Type
by: Shapovalov A. V. Aleksandr Vasiljevich
Published: (2019)
by: Shapovalov A. V. Aleksandr Vasiljevich
Published: (2019)
One-Dimensional Fokker–Planck Equation with Quadratically Nonlinear Quasilocal Drift
by: Shapovalov A. V. Aleksandr Vasilyevich
Published: (2018)
by: Shapovalov A. V. Aleksandr Vasilyevich
Published: (2018)
Symmetry operators of a Hartree-type equation with quadratic potential
by: Lisok A. L. Aleksandr Leonidovich
Published: (2005)
by: Lisok A. L. Aleksandr Leonidovich
Published: (2005)
Determining the Parameters of the Ground Vibrational State of the 28SiH4 Molecule
Published: (2017)
Published: (2017)
Effective Dipole Moment Model for Axially Symmetric C3v Molecules: Application to the Precise Study of Absolute Line Strengths of the ν6 Fundamental of CH335Cl
Published: (2023)
Published: (2023)
Remarks on l-conformal extension of the Newton-Hooke algebra
by: Galajinsky A. V. Anton Vladimirovich
Published: (2011)
by: Galajinsky A. V. Anton Vladimirovich
Published: (2011)
Symmetries of the Fisher–Kolmogorov–Petrovskii–Piskunov equation with a nonlocal nonlinearity in a semiclassical approximation
Published: (2012)
Published: (2012)
N = 2 supersymmetric extensions of relativistic Toda lattice
by: Galajinsky A. V. Anton Vladimirovich
Published: (2019)
by: Galajinsky A. V. Anton Vladimirovich
Published: (2019)
Conservation laws for two-phase filtration models
Published: (2014)
Published: (2014)
Ruijsenaars-Schneider three-body models with N = 2 supersymmetry
by: Galajinsky A. V. Anton Vladimirovich
Published: (2018)
by: Galajinsky A. V. Anton Vladimirovich
Published: (2018)
Bianchi type-V spinning particle on S2
by: Galajinsky A. V. Anton Vladimirovich
Published: (2020)
by: Galajinsky A. V. Anton Vladimirovich
Published: (2020)
On conformal spectral gap estimates of the Dirichlet-Laplacian
by: Goldshtein V. A. Vladimir
Published: (2019)
by: Goldshtein V. A. Vladimir
Published: (2019)
The JKR-adhesive normal contact problem of axisymmetric rigid punches with a flat annular shape or concave profiles
by: Willert E. Emanuel
Published: (2016)
by: Willert E. Emanuel
Published: (2016)
Symmetries of the One-Dimensional Fokker–Planck–Kolmogorov Equation with a Nonlocal Quadratic Nonlinearity
by: Levchenko E. A. Evgeny Anatolievich
Published: (2017)
by: Levchenko E. A. Evgeny Anatolievich
Published: (2017)
N=4 superconformal Calogero models
by: Galajinsky A. V. Anton Vladimirovich
Published: (2007)
by: Galajinsky A. V. Anton Vladimirovich
Published: (2007)
Calogero models and nonlocal conformal transformations
by: Galajinsky A. V. Anton Vladimirovich
Published: (2006)
by: Galajinsky A. V. Anton Vladimirovich
Published: (2006)
The Gross–Pitaevskii Equation with a Nonlocal Interaction in a Semiclassical Approximation on a Curve
by: Shapovalov A. V. Aleksandr Vasilyevich
Published: (2020)
by: Shapovalov A. V. Aleksandr Vasilyevich
Published: (2020)
Coupling-constant metamorphosis in SL(2,R)-invariant systems
by: Masterov I. V. Ivan Viktorovich
Published: (2021)
by: Masterov I. V. Ivan Viktorovich
Published: (2021)
N = 4 l-conformal Galilei superalgebra
by: Galajinsky A. V. Anton Vladimirovich
Published: (2017)
by: Galajinsky A. V. Anton Vladimirovich
Published: (2017)
Similar Items
-
Spinning extensions of D(2, 1; α) superconformal mechanics
by: Galajinsky A. V. Anton Vladimirovich
Published: (2019) -
Conformal mechanics inspired by extremal black holes in d = 4
by: Galajinsky A. V. Anton Vladimirovich
Published: (2011) -
N =4 ℓ-conformal Galilei superalgebras inspired by D(2, 1; α) supermultiplets
by: Galajinsky A. V. Anton Vladimirovich
Published: (2017) -
N= 1, 2, 3 ℓ-conformal Galilei superalgebras
by: Galajinsky A. V. Anton Vladimirovich
Published: (2021) -
Generalised point vortices on a plane
by: Galajinsky A. V. Anton Vladimirovich
Published: (2022)