Nuclear Physics, Section B, ISSN 0550-3213, 02/2020, Volume 951, p. 114887

The periodic OSp(1|2) quantum spin chain has both a graded and a non-graded version. Naively, the Bethe ansatz solution for the non-graded version does not...

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 11/2013, Volume 46, Issue 44, pp. 1 - 7

An inhomogeneous T-Q equation has recently been proposed by Cao, Yang, Shi and Wang for the open spin-1/2 XXX chain with general (nondiagonal) boundary terms....

MODELS | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | MATRICES | BETHE-ANSATZ SOLUTION | Eigenvalues | Chains | Mathematical models | Boundaries | Mathematical analysis | Completeness

MODELS | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | MATRICES | BETHE-ANSATZ SOLUTION | Eigenvalues | Chains | Mathematical models | Boundaries | Mathematical analysis | Completeness

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 05/2018, Volume 930, pp. 91 - 134

Using anisotropic R-matrices associated with affine Lie algebras gˆ (specifically, A2n(2), A2n−1(2), Bn(1), Cn(1), Dn(1)) and suitable corresponding...

LIE-ALGEBRAS | C-N() | B-N() | REFLECTION K-MATRICES | R-MATRIX | ALGEBRAIC BETHE-ANSATZ | VERTEX MODELS | OPEN-BOUNDARY-CONDITIONS | SURFACE CRITICAL-BEHAVIOR | T-J-MODEL | PHYSICS, PARTICLES & FIELDS | Surveys | Anisotropy | Algebra | Nuclear and particle physics. Atomic energy. Radioactivity | Mathematics - Quantum Algebra | Mathematical Physics | High Energy Physics - Theory

LIE-ALGEBRAS | C-N() | B-N() | REFLECTION K-MATRICES | R-MATRIX | ALGEBRAIC BETHE-ANSATZ | VERTEX MODELS | OPEN-BOUNDARY-CONDITIONS | SURFACE CRITICAL-BEHAVIOR | T-J-MODEL | PHYSICS, PARTICLES & FIELDS | Surveys | Anisotropy | Algebra | Nuclear and particle physics. Atomic energy. Radioactivity | Mathematics - Quantum Algebra | Mathematical Physics | High Energy Physics - Theory

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 01/2019, Volume 938, pp. 266 - 297

Integrable open quantum spin-chain transfer matrices constructed from trigonometric R-matrices associated to affine Lie algebras gˆ, and from certain...

LIE-ALGEBRAS | C-N() | O(N) | A(2N-1)() | B-N() | D-N() | EQUATIONS | VERTEX MODELS | BETHE-ANSATZ | PHYSICS, PARTICLES & FIELDS | Parathyroid hormone | Algebra

LIE-ALGEBRAS | C-N() | O(N) | A(2N-1)() | B-N() | D-N() | EQUATIONS | VERTEX MODELS | BETHE-ANSATZ | PHYSICS, PARTICLES & FIELDS | Parathyroid hormone | Algebra

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 2018, Volume 51, Issue 11, p. 110201

This is an introduction to Quantum Integrability and Quantum Groups, a special issue collection of articles published in Journal of Physics A in memory of Petr...

YANG-BAXTER EQUATION | Q-OSCILLATORS | REFLECTION EQUATIONS | INVERSE SCATTERING METHOD | PHYSICS, MULTIDISCIPLINARY | NONCOMMUTATIVE GEOMETRY | SCHRODINGER-EQUATION | SUPERCONFORMAL FIELD-THEORY | UNIVERSAL R-MATRIX | PHYSICS, MATHEMATICAL | KDV HIERARCHY | BACKLUND TRANSFORMATION

YANG-BAXTER EQUATION | Q-OSCILLATORS | REFLECTION EQUATIONS | INVERSE SCATTERING METHOD | PHYSICS, MULTIDISCIPLINARY | NONCOMMUTATIVE GEOMETRY | SCHRODINGER-EQUATION | SUPERCONFORMAL FIELD-THEORY | UNIVERSAL R-MATRIX | PHYSICS, MATHEMATICAL | KDV HIERARCHY | BACKLUND TRANSFORMATION

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 09/2016, Volume 910, Issue C, pp. 910 - 928

We consider the Temperley–Lieb (TL) open quantum spin chain with “free” boundary conditions associated with the spin-s representation of quantum-deformed...

SCALAR PRODUCTS | STATE VERTEX MODELS | WAVE-FUNCTIONS | QUANTUM | ALGEBRA | SYSTEMS | XXZ | PHYSICS, PARTICLES & FIELDS | Mathematical Physics | Nuclear and High Energy Physics | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | Strongly Correlated Electrons | Condensed Matter | Nonlinear Sciences | Exactly Solvable and Integrable Systems | High Energy Physics - Theory

SCALAR PRODUCTS | STATE VERTEX MODELS | WAVE-FUNCTIONS | QUANTUM | ALGEBRA | SYSTEMS | XXZ | PHYSICS, PARTICLES & FIELDS | Mathematical Physics | Nuclear and High Energy Physics | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | Strongly Correlated Electrons | Condensed Matter | Nonlinear Sciences | Exactly Solvable and Integrable Systems | High Energy Physics - Theory

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 06/2017, Volume 50, Issue 28

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 09/2016, Volume 910, Issue C, pp. 885 - 909

We use the algebraic Bethe ansatz to obtain the eigenvalues and eigenvectors of the spin-1 Temperley–Lieb open quantum chain with “free” boundary conditions....

XXZ CHAIN | SCALAR PRODUCTS | STATE VERTEX MODELS | WAVE-FUNCTIONS | SEGMENT | MATRICES | PHYSICS, PARTICLES & FIELDS | Algebra | Mathematical Physics | Nuclear and High Energy Physics | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | Strongly Correlated Electrons | Condensed Matter | Nonlinear Sciences | Exactly Solvable and Integrable Systems | High Energy Physics - Theory

XXZ CHAIN | SCALAR PRODUCTS | STATE VERTEX MODELS | WAVE-FUNCTIONS | SEGMENT | MATRICES | PHYSICS, PARTICLES & FIELDS | Algebra | Mathematical Physics | Nuclear and High Energy Physics | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | Strongly Correlated Electrons | Condensed Matter | Nonlinear Sciences | Exactly Solvable and Integrable Systems | High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 12/2011, Volume 2011, Issue 12, pp. 1 - 49

The ground-state energy of integrably-twisted theories is analyzed in finite volume. We derive the leading and next-to-leading order (NLO) Lüscher-type...

Integrable Field Theories | AdS-CFT Correspondence | Exact S-Matrix | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | AdS-CFT correspondence | S-MATRIX | DIMENSIONS | KONISHI | SCATTERING | PHYSICS, PARTICLES & FIELDS | Thermodynamics | Analysis | Boundary conditions | Ground state | Mathematical models | Physics - High Energy Physics - Theory

Integrable Field Theories | AdS-CFT Correspondence | Exact S-Matrix | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | AdS-CFT correspondence | S-MATRIX | DIMENSIONS | KONISHI | SCATTERING | PHYSICS, PARTICLES & FIELDS | Thermodynamics | Analysis | Boundary conditions | Ground state | Mathematical models | Physics - High Energy Physics - Theory

Journal Article

10.
Full Text
Algebraic Bethe ansatz for the quantum group invariant open XXZ chain at roots of unity

Nuclear Physics, Section B, ISSN 0550-3213, 08/2016, Volume 909, Issue C, pp. 796 - 839

For generic values of q, all the eigenvectors of the transfer matrix of the Uqsl(2)-invariant open spin-1/2 XXZ chain with finite length N can be constructed...

6-VERTEX | CYCLIC MONODROMY MATRICES | FUSION | REPRESENTATION | MODEL | EQUATION | PHYSICS, PARTICLES & FIELDS | Mathematics - Quantum Algebra | Mathematical Physics | Nuclear and High Energy Physics | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | High Energy Physics - Theory | Mathematics - Representation Theory

6-VERTEX | CYCLIC MONODROMY MATRICES | FUSION | REPRESENTATION | MODEL | EQUATION | PHYSICS, PARTICLES & FIELDS | Mathematics - Quantum Algebra | Mathematical Physics | Nuclear and High Energy Physics | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | High Energy Physics - Theory | Mathematics - Representation Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 11/2011, Volume 2011, Issue 11, pp. 1 - 16

In 2005, Berenstein and Vázquez determined an open spin chain Hamiltonian describing the one-loop anomalous dimensions of determinant-like operators...

Boundary Quantum Field Theory | Lattice Integrable Models | AdS-CFT Correspondence | Quantum Physics | Bethe Ansatz | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Bethe ansatz | AdS-CFT correspondence | Lattice integrable models | Boundary quantum field theory | S-MATRIX | DIMENSIONS | ALGEBRAIC BETHE-ANSATZ | PHYSICS, PARTICLES & FIELDS | Eigenvalues | Chains | Mathematical analysis | Gravitons | Transfer matrices | Physics - High Energy Physics - Theory

Boundary Quantum Field Theory | Lattice Integrable Models | AdS-CFT Correspondence | Quantum Physics | Bethe Ansatz | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Bethe ansatz | AdS-CFT correspondence | Lattice integrable models | Boundary quantum field theory | S-MATRIX | DIMENSIONS | ALGEBRAIC BETHE-ANSATZ | PHYSICS, PARTICLES & FIELDS | Eigenvalues | Chains | Mathematical analysis | Gravitons | Transfer matrices | Physics - High Energy Physics - Theory

Journal Article

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, ISSN 1742-5468, 09/2019, Volume 2019, Issue 9, p. 93101

We present a simple construction for a tridiagonal matrix T that commutes with the hopping matrix for the entanglement Hamiltonian H of open finite...

solvable lattice models | MECHANICS | entanglement entropies | ladders | MATRICES | PROPERTY | entanglement in extended quantum systems | planes | PHYSICS, MATHEMATICAL | spin chains | Condensed Matter | Mathematics | Statistical Mechanics | Mathematical Physics | Physics

solvable lattice models | MECHANICS | entanglement entropies | ladders | MATRICES | PROPERTY | entanglement in extended quantum systems | planes | PHYSICS, MATHEMATICAL | spin chains | Condensed Matter | Mathematics | Statistical Mechanics | Mathematical Physics | Physics

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 11/2015, Volume 2015, Issue 11, pp. 1 - 17

We propose a fusion formula for AdS/CFT worldsheet boundary S-matrices. We show that, starting from the fundamental Y = 0 boundary S-matrix, this formula...

Boundary Quantum Field Theory | Integrable Field Theories | AdS-CFT Correspondence | Exact S-Matrix | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | INTEGRABILITY | STATE | PHYSICS, PARTICLES & FIELDS | Boundaries

Boundary Quantum Field Theory | Integrable Field Theories | AdS-CFT Correspondence | Exact S-Matrix | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | INTEGRABILITY | STATE | PHYSICS, PARTICLES & FIELDS | Boundaries

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 11/2017, Volume 924, Issue C, pp. 86 - 127

A family of A2n(2) integrable open spin chains with Uq(Cn) symmetry was recently identified in arXiv:1702.01482. We identify here in a similar way a family of...

LIE-ALGEBRAS | C-N() | A(2N-1)() | B-N() | D-N() | ANALYTICAL BETHE-ANSATZ | EQUATIONS | VERTEX MODELS | SYSTEMS | SPECTRUM | PHYSICS, PARTICLES & FIELDS | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | Mathematics - Quantum Algebra | Mathematical Physics | High Energy Physics - Theory

LIE-ALGEBRAS | C-N() | A(2N-1)() | B-N() | D-N() | ANALYTICAL BETHE-ANSATZ | EQUATIONS | VERTEX MODELS | SYSTEMS | SPECTRUM | PHYSICS, PARTICLES & FIELDS | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | Mathematics - Quantum Algebra | Mathematical Physics | High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 2010, Volume 2010, Issue 5

We consider the problem of boundary scattering for Y = 0 maximal giant graviton branes. We show that the boundary S-matrix for the fundamental excitations has...

AdS-CFT correspondence | D-branes | Exact S-matrix | Boundary quantum field theory | Boundary Quantum Field Theory | AdS-CFT Correspondence | Exact S-Matrix | S-MATRIX | PHYSICS, PARTICLES & FIELDS | Mathematical analysis | Matrix methods | Scattering | Gravitons | Branes | Symmetry | Physics - High Energy Physics - Theory

AdS-CFT correspondence | D-branes | Exact S-matrix | Boundary quantum field theory | Boundary Quantum Field Theory | AdS-CFT Correspondence | Exact S-Matrix | S-MATRIX | PHYSICS, PARTICLES & FIELDS | Mathematical analysis | Matrix methods | Scattering | Gravitons | Branes | Symmetry | Physics - High Energy Physics - Theory

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 02/2014, Volume 47, Issue 7

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 2/2011, Volume 2011, Issue 2, pp. 1 - 45

All-loop asymptotic Bethe equations for a 3-parameter deformation of AdS 5/CFT 4 have been proposed by Beisert and Roiban. We propose a Drinfeld-Reshetikhin...

Lattice Integrable Models | AdS-CFT Correspondence | Exact S-Matrix | Quantum Physics | Bethe Ansatz | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Bethe ansatz | AdS-CFT correspondence | Exact S-matrix | Lattice integrable models | MODELS | QUANTUM | EXACT INTEGRABILITY | SCATTERING | PHYSICS, PARTICLES & FIELDS | Boundary conditions | Deformation | Transfer matrices | Physics - High Energy Physics - Theory

Lattice Integrable Models | AdS-CFT Correspondence | Exact S-Matrix | Quantum Physics | Bethe Ansatz | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Bethe ansatz | AdS-CFT correspondence | Exact S-matrix | Lattice integrable models | MODELS | QUANTUM | EXACT INTEGRABILITY | SCATTERING | PHYSICS, PARTICLES & FIELDS | Boundary conditions | Deformation | Transfer matrices | Physics - High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 09/2008, Volume 2008, Issue 9

We propose the exact S-matrix for the planar limit of the N = 6 super Chern-Simons theory recently proposed by Aharony, Bergman, Jafferis, and Maldacena for...

AdS-CFT correspondence | Chern-Simons theories | GAUGE-THEORY | MODELS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

AdS-CFT correspondence | Chern-Simons theories | GAUGE-THEORY | MODELS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 11/2013, Volume 88, Issue 5, p. 052113

We consider the Bethe equations for the isotropic spin-1/2 Heisenberg quantum spin chain with periodic boundary conditions. We formulate a conjecture for the...

XXZ CHAIN | INVARIANCE | POLYNOMIAL SYSTEMS | NONLINEAR ANALYTIC SYSTEMS | PHYSICS, FLUIDS & PLASMAS | SPIN CHAIN | COMPUTING SINGULAR SOLUTIONS | HOMOTOPY CONTINUATION | PHYSICS, MATHEMATICAL | HEISENBERG-MODEL | ANSATZ SOLUTIONS | PATH TRACKING

XXZ CHAIN | INVARIANCE | POLYNOMIAL SYSTEMS | NONLINEAR ANALYTIC SYSTEMS | PHYSICS, FLUIDS & PLASMAS | SPIN CHAIN | COMPUTING SINGULAR SOLUTIONS | HOMOTOPY CONTINUATION | PHYSICS, MATHEMATICAL | HEISENBERG-MODEL | ANSATZ SOLUTIONS | PATH TRACKING

Journal Article