Journal of physics. A, Mathematical and theoretical, ISSN 1751-8113, 09/2017, Volume 50, Issue 39, p. 394002

Journal Article

Journal of Physics: Conference Series, ISSN 1742-6588, 04/2017, Volume 804, Issue 1

This short note presents a summary of the articles arXiv:1408.5357, arXiv:1412.5939, arXiv:1603.06796, arXiv:1606.01018, arXiv:1606.08148 that were done in...

Conference Proceeding

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8121, 07/2009, Volume 42, Issue 29, pp. 295205 - 295205 (27)

...) 295205 (27pp) doi:10.1088/1751-8113/42/29/295205 Quantum ﬁeld theory on quantum graphs and application to their conductance E Ragoucy Laboratoire de Physique Th...

BOSONIZATION | STAR GRAPHS | WIRES | FACTORIZATION | ALGEBRAS | DEFECTS | PHYSICS, MULTIDISCIPLINARY | HERMITIAN SYMPLECTIC-GEOMETRY | PHYSICS, MATHEMATICAL | KIRCHHOFFS RULE | SCATTERING | High Energy Physics - Theory | Physics

BOSONIZATION | STAR GRAPHS | WIRES | FACTORIZATION | ALGEBRAS | DEFECTS | PHYSICS, MULTIDISCIPLINARY | HERMITIAN SYMPLECTIC-GEOMETRY | PHYSICS, MATHEMATICAL | KIRCHHOFFS RULE | SCATTERING | High Energy Physics - Theory | Physics

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8121, 07/2008, Volume 41, Issue 29, p. 295202

...:10.1088/1751-8113/41/29/295202 The nested Bethe ansatz for ‘all’ closed spin chains S Belliard and E Ragoucy Laboratoire de Physique Th´ eorique LAPTH 1 , BP 110...

ANALOG | PHYSICS, MULTIDISCIPLINARY | QUANTUM | ALGEBRA | TRANSFER-MATRICES | EQUATIONS | FINITE-DIMENSIONAL REPRESENTATIONS | MODEL | PHYSICS, MATHEMATICAL | IRREDUCIBLE REPRESENTATIONS

ANALOG | PHYSICS, MULTIDISCIPLINARY | QUANTUM | ALGEBRA | TRANSFER-MATRICES | EQUATIONS | FINITE-DIMENSIONAL REPRESENTATIONS | MODEL | PHYSICS, MATHEMATICAL | IRREDUCIBLE REPRESENTATIONS

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 09/2017, Volume 354, Issue 2, pp. 753 - 773

We revisit the construction of deformed Virasoro algebras from elliptic quantum algebras of vertex type, generalizing the bilinear trace procedure proposed in...

YANG-BAXTER EQUATIONS | W-ALGEBRAS | DEFORMATIONS | SYSTEMS | MODEL | A(Q,P)((SL)OVER-CAP(C)) | PHYSICS, MATHEMATICAL | Algebra | Mathematical Physics | Physics

YANG-BAXTER EQUATIONS | W-ALGEBRAS | DEFORMATIONS | SYSTEMS | MODEL | A(Q,P)((SL)OVER-CAP(C)) | PHYSICS, MATHEMATICAL | Algebra | Mathematical Physics | Physics

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 04/2015, Volume 893, pp. 459 - 481

We study integrable models solvable by the nested algebraic Bethe ansatz and possessing GL(3)-invariant R-matrix. Assuming that the monodromy matrix of the...

SCALAR PRODUCTS | MANY-BODY PROBLEM | PHYSICS, PARTICLES & FIELDS | Mathematical Physics | Physics | Nuclear and particle physics. Atomic energy. Radioactivity | [ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph] | Nuclear and High Energy Physics | Nonlinear Sciences - Exactly Solvable and Integrable Systems

SCALAR PRODUCTS | MANY-BODY PROBLEM | PHYSICS, PARTICLES & FIELDS | Mathematical Physics | Physics | Nuclear and particle physics. Atomic energy. Radioactivity | [ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph] | Nuclear and High Energy Physics | Nonlinear Sciences - Exactly Solvable and Integrable Systems

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 10/2018, Volume 51, Issue 44

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 09/2017, Volume 50, Issue 39

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 07/2019, Volume 944, p. 114632

A q-analogue of the Higgs algebra, which describes the symmetry properties of the harmonic oscillator on the 2-sphere, is obtained as the commutant of the...

POLYNOMIALS | HIDDEN SYMMETRY | REPRESENTATIONS | Q-ANALOGS | QUANTUM | SYSTEMS | OSCILLATOR | DEFORMATION | PHYSICS, PARTICLES & FIELDS

POLYNOMIALS | HIDDEN SYMMETRY | REPRESENTATIONS | Q-ANALOGS | QUANTUM | SYSTEMS | OSCILLATOR | DEFORMATION | PHYSICS, PARTICLES & FIELDS

Journal Article

Physics of Particles and Nuclei Letters, ISSN 1547-4771, 3/2017, Volume 14, Issue 2, pp. 336 - 340

... LAPTH (CNRS), Annecy, France e-mail: eric.ragoucy@lapth.cnrs.fr Received March 31, 2016 Abstract⎯ This short note presents works done in collaboration...

Physics | Particle and Nuclear Physics

Physics | Particle and Nuclear Physics

Journal Article

Letters in Mathematical Physics, ISSN 0377-9017, 9/2019, Volume 109, Issue 9, pp. 2035 - 2048

We consider the trigonometric classical r-matrix for $$\mathfrak {gl}_N$$ gl N and the associated quantum Gaudin model. We produce higher Hamiltonians in an...

Geometry | Theoretical, Mathematical and Computational Physics | Complex Systems | Gaudin model | Bethe subalgebra | 81R50 | Group Theory and Generalizations | Quantum affine algebra | 17B37 | Physics | PHYSICS, MATHEMATICAL | QUANTUM AFFINE ALGEBRAS | Analysis | Models | Algebra | Mathematical Physics

Geometry | Theoretical, Mathematical and Computational Physics | Complex Systems | Gaudin model | Bethe subalgebra | 81R50 | Group Theory and Generalizations | Quantum affine algebra | 17B37 | Physics | PHYSICS, MATHEMATICAL | QUANTUM AFFINE ALGEBRAS | Analysis | Models | Algebra | Mathematical Physics

Journal Article

Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, 04/2018, Volume 2018, Issue 4, p. 43201

We study a class of multi-species ASEP with open boundaries. The boundaries are chosen in such a way that all species of particles interact non-trivially with...

rigorous results in statistical mechanics | solvable lattice models | stationary states | exclusion processes | MECHANICS | SIMPLE EXCLUSION PROCESS | PHYSICS, MATHEMATICAL | TASEP | Physics - Statistical Mechanics

rigorous results in statistical mechanics | solvable lattice models | stationary states | exclusion processes | MECHANICS | SIMPLE EXCLUSION PROCESS | PHYSICS, MATHEMATICAL | TASEP | Physics - Statistical Mechanics

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 2010, Volume 828, Issue 3, pp. 515 - 535

We present a direct and simple method for the computation of the total scattering matrix of an arbitrary finite noncompact connected quantum graph given its...

WIRES | PHYSICS, PARTICLES & FIELDS | Mathematical Physics | Mathematics | Physics

WIRES | PHYSICS, PARTICLES & FIELDS | Mathematical Physics | Mathematics | Physics

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 05/2015, Volume 48, Issue 17, pp. 175002 - 18

We give a complete classification of integrable Markovian boundary conditions for the asymmetric simple exclusion process with two species (or classes) of...

integrabilty | matrix ansatz | exclusion process | SHOCK PROFILES | PARTICLES | PHYSICS, MULTIDISCIPLINARY | MODEL | PHYSICS, MATHEMATICAL | ASYMMETRIC DIFFUSION | BETHE-ANSATZ | SPONTANEOUS SYMMETRY-BREAKING | NONEQUILIBRIUM STEADY-STATES | MATRIX-PRODUCT FORM | STATIONARY MEASURE | SYSTEMS | Asymmetry | Particles (of physics) | Classification | Boundary conditions | Mathematical models | Construction specifications | Boundaries | Density | Statistical Mechanics | Mathematical Physics | Condensed Matter | Mathematics | Nonlinear Sciences | Exactly Solvable and Integrable Systems | Physics

integrabilty | matrix ansatz | exclusion process | SHOCK PROFILES | PARTICLES | PHYSICS, MULTIDISCIPLINARY | MODEL | PHYSICS, MATHEMATICAL | ASYMMETRIC DIFFUSION | BETHE-ANSATZ | SPONTANEOUS SYMMETRY-BREAKING | NONEQUILIBRIUM STEADY-STATES | MATRIX-PRODUCT FORM | STATIONARY MEASURE | SYSTEMS | Asymmetry | Particles (of physics) | Classification | Boundary conditions | Mathematical models | Construction specifications | Boundaries | Density | Statistical Mechanics | Mathematical Physics | Condensed Matter | Mathematics | Nonlinear Sciences | Exactly Solvable and Integrable Systems | Physics

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 8/2013, Volume 2013, Issue 8, pp. 1 - 21

... and the associator J.M. Drummond a,b and E. Ragoucy b a PH-TH, CERN, Case C01600, CH-1211 Geneva 23, Switzerland b LAPTH, Universit e de Savoie, CNRS, B.P. 110, F-74941 Annecy...

Brane Dynamics in Gauge Theories | Scattering Amplitudes | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | ALGEBRA | PHYSICS, PARTICLES & FIELDS | String theory | Correlation | Amplitudes | Mathematical analysis | Mathematics | Mathematical Physics | High Energy Physics - Theory

Brane Dynamics in Gauge Theories | Scattering Amplitudes | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | ALGEBRA | PHYSICS, PARTICLES & FIELDS | String theory | Correlation | Amplitudes | Mathematical analysis | Mathematics | Mathematical Physics | High Energy Physics - Theory

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 10/2017, Volume 923, Issue C, pp. 277 - 311

We study scalar products of Bethe vectors in the models solvable by the nested algebraic Bethe ansatz and described by gl(m|n) superalgebra. Using coproduct...

FORM-FACTORS | PHYSICS, PARTICLES & FIELDS | Mathematical Physics | [ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph] | Nuclear and particle physics. Atomic energy. Radioactivity | Strongly Correlated Electrons | Condensed Matter | Nonlinear Sciences | [ PHYS.HTHE ] Physics [physics]/High Energy Physics - Theory [hep-th] | Exactly Solvable and Integrable Systems

FORM-FACTORS | PHYSICS, PARTICLES & FIELDS | Mathematical Physics | [ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph] | Nuclear and particle physics. Atomic energy. Radioactivity | Strongly Correlated Electrons | Condensed Matter | Nonlinear Sciences | [ PHYS.HTHE ] Physics [physics]/High Energy Physics - Theory [hep-th] | Exactly Solvable and Integrable Systems

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 1/2017, Volume 349, Issue 1, pp. 271 - 283

... Algebra for Baxterisation N. Crampe 1 , L. Frappat 2 , E. Ragoucy 2 , M. Vanicat 2 1 L2C, UMR 5221 CNRS-Université de Montpellier, Montpellier, France. E-mail...

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | YANG-BAXTER EQUATION | MATRIX-PRODUCT FORM | REPRESENTATIONS | PHYSICS, MATHEMATICAL | Algebra

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | YANG-BAXTER EQUATION | MATRIX-PRODUCT FORM | REPRESENTATIONS | PHYSICS, MATHEMATICAL | Algebra

Journal Article

Journal of Physics: Conference Series, ISSN 1742-6588, 2012, Volume 343, Issue 1, pp. 1 - 9

We introduce a generalization of the original Coordinate Bethe Ansatz that allows to treat the case of open spin chains with non-diagonal boundary matrices. We...

Boundaries

Boundaries

Conference Proceeding

Communications in Mathematical Physics, ISSN 0010-3616, 2015, Volume 336, Issue 2, pp. 1053 - 1084

We produce explicit generators of the classical W W -algebras associated with the principal nilpotents in the simple Lie algebras...

Algebra | Mathematics | Representation Theory

Algebra | Mathematics | Representation Theory

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8121, 05/2009, Volume 42, Issue 20, pp. 205203 - 205203 (35)

.... 42 (2009) 205203 (35pp) doi:10.1088/1751-8113/42/20/205203 The nested Bethe ansatz for ‘all’ open spin chains with diagonal boundary conditions S Belliard and E...

REPRESENTATIONS | ANALOG | PHYSICS, MULTIDISCIPLINARY | QUANTUM | TRANSFER-MATRICES | VERTEX | SPECTRUM | MODEL | PHYSICS, MATHEMATICAL | Mathematical Physics | Mathematics | Physics

REPRESENTATIONS | ANALOG | PHYSICS, MULTIDISCIPLINARY | QUANTUM | TRANSFER-MATRICES | VERTEX | SPECTRUM | MODEL | PHYSICS, MATHEMATICAL | Mathematical Physics | Mathematics | Physics

Journal Article

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