Disciplines / Research questions

物理学

691 个研究主题 · 2739 个问题

Yang–Baxter 散射一致性1 个问题
  1. General construction and classification of set-theoretical reflection maps, and the Poisson–Lie dynamics of their transfer maps

Yang–Baxter algebra3 个问题
  1. Completeness, norm formulae, and extension to the full non-symmetric Fock space for the non-symmetric Yang–Baxter algebra of the quantum nonlinear Schrödinger model

    未解决约 13 年
  2. Completeness, equivalence, and thermodynamic-limit structure of the Yang-Baxter-algebra Bethe-like systems for the XXZ chain with non-diagonal twisted and open boundaries

    未解决约 19 年
  3. Exact relation counts and prolongation-sequence periodicity for quadratic algebras of left-nondegenerate idempotent sets (Questions 4.12 and 6.12 of Gateva-Ivanova-Majid)

    未解决约 2 年
Yang–Yang 热力学1 个问题
  1. Microscopic origin and single-shot interpretation of the density-grain statistics in the exactly solved one-dimensional Bose gas

Yangian2 个问题
  1. Explicit formula for the unitriangular factor R−(s)\mathcal{R}^-(s) of the Yangian universal RR-matrix beyond sl2\mathfrak{sl}_2, and algebra-level lift of its cocycle identity

    未解决约 7 年
  2. Quantum Yangian double and universal R-matrix for the centrally extended psu(2∣2)⋉C3\mathfrak{psu}(2|2)\ltimes\mathbb{C}^3 algebra underlying the AdS5_5/CFT4_4 S-matrix

    未解决约 14 年
Yangian表示论与求解非线性模型2 个问题
  1. Quantum-algebraic (Yangian-type) symmetry underlying the non-difference-form 6-vertex B and 8-vertex B solutions of the Yang-Baxter equation

    未解决约 6 年
  2. Yang–Baxter integrability of the three-dimensional quantum crystal-melting Hamiltonian (dynamics of plane partitions)

    未解决约 18 年
Zamolodchikov 三维模型2 个问题
  1. Elliptic completion of the tetrahedral Zamolodchikov algebra program for the fermionic Bazhanov-Stroganov R-operator: interacting extensions and the non-ultralocal continuum limit

  2. 3D origin of Shastry's R-matrix: deriving the Hubbard-model R-matrix from the Zamolodchikov model and uniformising the full tetrahedron equation

Zamolodchikov–Faddeev 代数4 个问题
  1. Fock representations of Zamolodchikov–Faddeev algebras over involutive R-matrices: dependence on the R-matrix and scaling limits of integrable QFTs

  2. Positivity conjecture and q→0q\to0 crystal-limit identification for the qq-boson Zamolodchikov-Faddeev representation of the Uq(An(1))U_q(A^{(1)}_n) zero-range process

  3. Classification of Zamolodchikov–Faddeev algebra transformations for quantum quenches in interacting integrable quantum field theories and the first-principles construction of the quench initial state

  4. Completing the exact solution of open multi-species exclusion processes with integrable boundaries

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