Algebraic geometry and Bethe ansatz. I: The quotient ring for BAE
From MaRDI portal
Publication:1750927
DOI10.1007/JHEP03(2018)087zbMath1388.81440arXiv1710.04693OpenAlexW3103156731MaRDI QIDQ1750927
Publication date: 23 May 2018
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.04693
Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on lattices (81T25) Groups and algebras in quantum theory and relations with integrable systems (81R12)
Related Items
Modified algebraic Bethe ansatz: twisted XXX case, One-loop non-planar anomalous dimensions in super Yang-Mills theory, Integration-by-parts reductions of Feynman integrals using singular and GPI-space, Torus partition function of the six-vertex model from algebraic geometry, On generalized \(Q\)-systems, Grothendieck lines in 3d \(\mathcal{N} = 2\) SQCD and the quantum K-theory of the Grassmannian, Super-spin chains for 6D SCFTs, Cylinder partition function of the 6-vertex model from algebraic geometry, Geometric algebra and algebraic geometry of loop and Potts models
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Scattering of massless particles: scalars, gluons and gravitons
- Where are the roots of the Bethe Ansatz equations?
- Review of AdS/CFT integrability, chapter VI.1: Superconformal symmetry
- On the number of roots of self-inversive polynomials on the complex unit circle
- Refined counting of necklaces in one-loop \(\mathcal{N}=4 \) SYM
- Bethe algebra of homogeneous \(XXX\) Heisenberg model has simple spectrum
- Long-range \(\mathfrak{psu}(2,2|4)\) Bethe ansätze for gauge theory and strings
- The number of roots of a system of equations
- Newton polytopes and the Bezout theorem
- Newton polyhedra and the genus of complete intersections
- A new efficient algorithm for computing Gröbner bases \((F_4)\)
- Completeness of the Bethe ansatz for the six- and eight-vertex models.
- All three-loop four-point correlators of half-BPS operators in planar \( \mathcal{N} =4\) SYM
- Einstein-Yang-Mills scattering amplitudes from scattering equations
- Slimgb: Gröbner bases with slim polynomials
- Off-diagonal Bethe ansatz solution of the XXX spin chain with arbitrary boundary conditions
- Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM
- An algebraic approach to the scattering equations
- Some Remarks On Nepomechie--Wang Eigenstates For Spin 1/2 XXX Model
- Algebraic Bethe ansatz for singular solutions
- Singular solutions, repeated roots and completeness for higher-spin chains
- Diagonalisation of GL(N) invariant transfer matrices and quantum N-wave system (Lee model)
- The nested Bethe ansatz for ‘all’ closed spin chains
- Optimal Search for the Global Maximum of Functions with Bounded Seminorm
- Completeness of the Bethe Ansatz solution of the open XXZ chain with nondiagonal boundary terms
- The full spectrum of AdS5/CFT4 I: representation theory and one-loop Q-system
- Boundary conditions for integrable quantum systems
- Singular solutions to the Bethe ansatz equations and rigged configurations
- Ideals, Varieties, and Algorithms
- Off-Diagonal Bethe Ansatz for Exactly Solvable Models
- Fast analytic solver of rational Bethe equations
- Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
- FGb: A Library for Computing Gröbner Bases
- Bethe's equation is incomplete for the \(XXZ\) model at roots of unity
