Determinant form of correlators in high rank integrable spin chains via separation of variables
From MaRDI portal
Publication:2048025
DOI10.1007/JHEP05(2021)169zbMath1466.81039arXiv2011.08229OpenAlexW3164108527MaRDI QIDQ2048025
Paul Ryan, Fedor Levkovich-Maslyuk, Nikolay Gromov
Publication date: 4 August 2021
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.08229
Quantum field theory on lattices (81T25) Exactly solvable models; Bethe ansatz (82B23) Groups and algebras in quantum theory and relations with integrable systems (81R12)
Related Items
Unitarity of the SoV transform for \(\mathrm{SL}(2,\mathbb{C})\) spin chains, Form-factors and complete basis of observables via separation of variables for higher rank spin chains, Open fishchain in \(N = 4\) supersymmetric Yang-Mills theory, Duality relations for overlaps of integrable boundary states in AdS/dCFT, Completeness of SoV representation for \(\mathrm{SL}(2,\mathbb{R})\) spin chains, Separation of variables in AdS/CFT: functional approach for the fishnet CFT, Overlap between usual and modified Bethe vectors, Conformal quantum mechanics \& the integrable spinning fishnet, Gaudin models and multipoint conformal blocks. II: Comb channel vertices in 3D and 4D, Hexagonalization of fishnet integrals. I: Mirror excitations, Mirror channel eigenvectors of the \(d\)-dimensional fishnets, Correlation functions of determinant operators in conformal fishnet theory
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On three-point correlation functions in the gauge/gravity duality
- Baxter's Q-operators and operatorial Bäcklund flow for quantum (super)-spin chains
- Review of AdS/CFT integrability, chapter III.7: Hirota dynamics for quantum integrability
- Review of AdS/CFT integrability, chapter VI.1: Superconformal symmetry
- Baxter Q-operators and representations of Yangians
- Separation of variables in the Gaudin model
- Analytic solution of bremsstrahlung TBA II: turning on the sphere angle
- Scalar insertions in cusped Wilson loops in the ladders limit of planar \(\mathcal{N} = 4\) SYM
- Colour-twist operators. I: Spectrum and wave functions
- Long-range \(\mathfrak{psu}(2,2|4)\) Bethe ansätze for gauge theory and strings
- An analogue of the character formula for Hecke algebras
- Separation of variables in the classical integrable \(\mathrm{SL}(3)\) magnetic chain
- Integrable structure of conformal field theory. II: \(Q\)-operator and DDV equation
- Separation of variables in the quantum integrable models related to the Yangian \(\mathcal Y [sl (3)\)]
- Quantum integrable models and discrete classical Hirota equations
- Quantum spectral curve and structure constants in \( \mathcal{N}=4 \) SYM: cusps in the ladder limit
- Erratum to: Exact correlators on the Wilson loop in \( \mathcal{N} =4\) SYM: localization, defect CFT, and integrability
- Exploring the spectrum of planar \(\mathrm{AdS}_{4}/\mathrm{CFT}_{3}\) at finite coupling
- On Bethe vectors in \( \mathfrak{g}{\mathfrak{l}}_3 \)-invariant integrable models
- New construction of eigenstates and separation of variables for SU(\(N\)) quantum spin chains
- New compact construction of eigenstates for supersymmetric spin chains
- Analytic Bethe ansatz for fundamental representations of Yangians
- Functional equations and separation of variables for exact \(g\)-function
- Separation of variables for the quantum \(\mathrm{SL} (3, \mathbb{C} )\) spin magnet: eigenfunctions of the Sklyanin \(B\)-operator
- Exactly solvable single-trace four point correlators in \(\chi \mathrm{CFT}_4\)
- Generating function for scalar products in the algebraic Bethe ansatz
- Why scalar products in the algebraic Bethe ansatz have determinant representation
- Separation of variables and scalar products at any rank
- Diagonal form factors in Landau-Lifshitz models
- Basso-Dixon correlators in two-dimensional fishnet CFT
- Baxter operators and Hamiltonians for ``nearly all integrable closed \(gl(n\)) spin chains
- Separation of variables for rational \(\mathfrak{gl}(\mathsf{n})\) spin chains in any compact representation, via fusion, embedding morphism and Bäcklund flow
- Dual separated variables and scalar products
- Scalar products of Bethe vectors in models with $\mathfrak{g}\mathfrak{l}(2|1)$ symmetry 2. Determinant representation
- On determinant representations of scalar products and form factors in the SoV approach: the XXX case
- Discrete Hirota's Equation in Quantum Integrable Models
- The algebraic Bethe ansatz for scalar products inSU(3)-invariant integrable models
- Highest coefficient of scalar products inSU(3)-invariant integrable models
- Scalar products in GL(3)-based models with trigonometric R-matrix. Determinant representation
- Diagonalisation of GL(N) invariant transfer matrices and quantum N-wave system (Lee model)
- New approach to the quantum nonlinear Schrodinger equation
- Restricted solid-on-solid models connected with simply laced algebras and conformal field theory
- Factorization of \mathcal{R} -matrix and Baxter \mathcal{Q} -operators for genericsl(N) spin chains
- Analytic Bethe ansatz related to a one-parameter family of finite-dimensional representations of the Lie superalgebra
- Algebraic identities among U (n) infinitesimal generators
- The Holstein - Primakoff and Dyson realizations for the Lie superalgebragl(m/n+ 1)
- Quantum Jacobi-Trudi and Giambelli formulae for Uq(Br(1)) from the analytic Bethe ansatz
- On quantum separation of variables
- More exact results in the Wilson loop defect CFT: bulk-defect OPE, nonplanar corrections and quantum spectral curve
- Complete spectrum of quantum integrable lattice models associated to $\boldsymbol {\mathcal{U}_{q} (\widehat{gl_{n}})}$ by separation of variables
- On separation of variables for reflection algebras
- The open XXX spin chain in the SoV framework: scalar product of separate states
- Separated variables and wave functions for rational gl(N) spin chains in the companion twist frame
- On the quantum inverse scattering problem.
- Noncompact Heisenberg spin magnets from high-energy QCD. I: Baxter Q-operator and separation of variables
- Quantum spectral curve as a tool for a perturbative quantum field theory