Found 406 Documents (Results 1–100)
Iwahori-metaplectic duality. (English) Zbl 07870399
Orthogonal polynomial duality and unitary symmetries of multi-species ASEP \((q,\boldsymbol{\theta})\) and higher-spin vertex models via \(^*\)-bialgebra structure of higher rank quantum groups. (English) Zbl 1536.82016
Solutions of the \(\mathfrak{sl}_2\text{qKZ}\) equations modulo an integer. (English) Zbl 1537.39007
Novel integrability in string theory from automorphic symmetries. (English. Russian original) Zbl 1535.81205
Theor. Math. Phys. 217, No. 3, 1914-1937 (2023); translation from Teor. Mat. Fiz. 217, No. 3, 585-612 (2023).
Prime order isometries of unimodular lattices and automorphisms of IHS manifolds. (English) Zbl 1535.14101
Reviewer: Vladimir P. Kostov (Nice)
Graph gauge theory of mobile non-abelian anyons in a qubit stabilizer code. (English) Zbl 1522.81058
On symmetric solutions of the fourth \(q\)-Painlevé equation. (English) Zbl 1516.39008
Reviewer: Bashir Ahmad (Jeddah)
Elliptic Gaudin-type model in an external magnetic field and modified algebraic Bethe ansatz. (English) Zbl 1520.81091
Automorphic symmetries and \(AdS_n\) integrable deformations. (English) Zbl 07819675
Dobrev, Vladimir (ed.), Lie theory and its applications in physics. Selected papers based on the presentations at the workshop, Sofia, Bulgaria, online, June 2021. Singapore: Springer. Springer Proc. Math. Stat. 396, 351-358 (2022).
Finite size spectrum of the staggered six-vertex model with \(\mathrm{U_q}(\mathfrak{sl}(2))\)-invariant boundary conditions. (English) Zbl 1521.81308
Versality in toric geometry. (English) Zbl 1503.14006
Reviewer: Jan Stevens (Göteborg)
Quasi-solvable lattice models for \(\operatorname{Sp}_{2n}\) and \(\operatorname{SO}_{2n+1}\) Demazure atoms and characters. (English) Zbl 1495.05332
Reviewer: Mee Seong Im (Annapolis)
Completeness of Wronskian Bethe equations for rational \(\mathfrak{gl}_{\mathsf{m}|\mathsf{n}}\) spin chains. (English) Zbl 1487.82007
Multiplicities of some maximal dominant weights of the \(\widehat{s\ell }(n)\)-modules \(V(k \Lambda_0)\). (English) Zbl 1512.17045
Reviewer: Mee Seong Im (Annapolis)
Flat connection on four-dimensional lattice, related matrix difference equations and their solutions. arXiv:2212.14645
Preprint, arXiv:2212.14645 [math-ph] (2022).
On Sevostyanov’s construction of quantum difference Toda lattices. (English) Zbl 1491.17011
Reviewer: Dmitry Artamonov (Moskva)
Derivation of linear elasticity for a general class of atomistic energies. (English) Zbl 1482.74011
Reviewer: Mate Kosor (Zadar)
Local operators in integrable models I. (English) Zbl 1492.82004
Mathematical Surveys and Monographs 256. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6552-0/pbk; 978-1-4704-6576-6/ebook). xii, 192 p. (2021).
Reviewer: Nenad Manojlović (Faro)
Skew braces as remnants of co-quasitriangular Hopf algebras in suplat. (English) Zbl 1483.16036
Reviewer: Marzia Mazzotta (Lecce)
\(q\)-universal characters and an extension of the lattice \(q\)-universal characters. (English. Russian original) Zbl 1471.81116
Theor. Math. Phys. 208, No. 1, 896-911 (2021); translation from Teor. Mat. Fiz. 208, No. 1, 51-68 (2021).
Tau-functions à la Dubédat and probabilities of cylindrical events for double-dimers and CLE(4). (English) Zbl 1467.82009
On rigidity of toric varieties arising from bipartite graphs. (English) Zbl 1452.14003
Reviewer: Piotr Pokora (Kraków)
Nested algebraic Bethe ansatz for orthogonal and symplectic open spin chains. (English) Zbl 1479.82017
Actions, quotients and lattices of locally compact quantum groups. (English) Zbl 1466.46064
Reviewer: Ralf Meyer (Göttingen)
Strict deformation quantization of the state space of \(M_k(\mathbb{C})\) with applications to the Curie-Weiss model. (English) Zbl 1469.46069
Arnold’s monotonicity problem. arXiv:2006.11795
Preprint, arXiv:2006.11795 [math.AG] (2020).
Polyhedra, lattice structures, and extensions of semigroups. arXiv:2004.07377
Preprint, arXiv:2004.07377 [math.AG] (2020).
Numerical initial data deformation exploiting a gluing construction. I: Exterior asymptotic Schwarzschild. (English) Zbl 1479.83030
On the critical behaviour of the integrable \(q\)-deformed OSp(3|2) superspin chain. (English) Zbl 1430.82004
Polyhedral realizations of crystal bases \(B(\lambda)\) for quantum algebras of nonexceptional affine types. (English) Zbl 1428.82063
Scalar products of the elliptic Felderhof model and elliptic Cauchy formula. (English) Zbl 1432.82011
Symmetric functions and wavefunctions of XXZ-type six-vertex models and elliptic felderhof models by Izergin-Korepin analysis. (English) Zbl 1391.82013
Bimodule structure of the mixed tensor product over \(\mathcal{U}_q s \ell(2 | 1)\) and quantum walled Brauer algebra. (English) Zbl 1381.81056
Izergin-Korepin analysis on the projected wavefunctions of the generalized free-fermion model. (English) Zbl 1403.82006
Integrable light-cone lattice discretizations from the universal \(\text{R}\)-matrix. (English) Zbl 1425.81086
Reviewer: Nenad Manojlović (Faro)
Quantum spectral curve for the \(\eta\)-deformed \(\mathrm{AdS}_{5} \times S^{5}\) superstring. (English) Zbl 1375.81204
An algebra associated with a subspace lattice over a finite field and its relation to the quantum affine algebra \(U_q(\hat{\mathfrak{sl}}_2)\). (English) Zbl 1425.17023
The integrable quantum group invariant \(A_{2 n - 1}^{(2)}\) and \(D_{n + 1}^{(2)}\) open spin chains. (English) Zbl 1373.82024
Quantum group symmetries and completeness for \({A}_{2n}^{(2)}\) open spin chains. (English) Zbl 1372.82009
A general approach to Heisenberg categorification via wreath product algebras. (English) Zbl 1366.18006
Reviewer: Robert McRae (Nashville)
Parent Hamiltonians for lattice Halperin states from free-boson conformal field theories. (English) Zbl 1356.81194
Multispecies totally asymmetric zero range process. I. Multiline process and combinatorial \(R\). (English) Zbl 1400.37096
Duality relations for the periodic ASEP conditioned on a low current. (English) Zbl 1353.82045
Gonçalves, Patrícia (ed.) et al., From particle systems to partial differential equations III. Particle systems and PDEs III, Braga, Portugal, December 2014. Cham: Springer (ISBN 978-3-319-32142-4/hbk; 978-3-319-32144-8/ebook). Springer Proceedings in Mathematics & Statistics 162, 323-350 (2016).
Affine ADE bundles over surfaces with \(p_g=0\). (English) Zbl 1387.14116
Reviewer: Vasile Brînzănescu (Bucureşti)
Exact solution of the trigonometric \(\operatorname{SU}(3)\) spin chain with generic off-diagonal boundary reflections. (English) Zbl 1345.82007
The quantum group and Harper equation on a honeycomb lattice. (English. Russian original) Zbl 1352.82005
J. Math. Sci., New York 216, No. 4, 522-526 (2016); translation from Sovrem. Mat. Prilozh. 94 (2014).
Reviewer: Nasir N. Ganikhodjaev (Kuantan)
Stochastic duality of ASEP with two particle types via symmetry of quantum groups of rank two. (English) Zbl 1342.82090
Algebraic Bethe ansatz for the quantum group invariant open XXZ chain at roots of unity. (English) Zbl 1342.82030
A \(q\)-Virasoro algebra at roots of unity, free fermions, and Temperley-Lieb Hamiltonians. (English) Zbl 1348.82024
Reviewer: Nasir N. Ganikhodjaev (Kuantan)
Quasilocal conservation laws from semicyclic irreducible representations of \(\operatorname{U}_q(\mathfrak{sl}_2)\) in XXZ spin-1/2 chains. (English) Zbl 1332.82020
The diagonal two-point correlations of the Ising model on the anisotropic triangular lattice and Garnier systems. (English) Zbl 1338.34170
Reviewer: Dmitry Artamonov (Moskva)
Associative algebraic approach to logarithmic CFT in the bulk: the continuum limit of the \(\mathfrak{gl}(1|1)\) periodic spin chain, Howe duality and the interchiral algebra. (English) Zbl 1333.81366
Isomonodromy aspects of the \(\mathrm{tt}^*\) equations of Cecotti and Vafa. I: Stokes data. (English) Zbl 1332.37050
Reviewer: Dmitry Artamonov (Moskva)
Self-duality for the two-component asymmetric simple exclusion process. (English) Zbl 1332.82067
Reviewer: Arvind Ayyer (Bangalore)
Integrability versus non-integrability: hard hexagons and hard squares compared. (English) Zbl 1316.82008
Reviewer: Utkir A. Rozikov (Tashkent)
The idempotents of the TL\(_n\)-module \(\otimes^n\mathbb C2\) in terms of elements of \(\mathrm{U}_q\mathfrak{sl}_2\). (English) Zbl 1305.82020
Equivariant deformations of algebraic varieties with an action of an algebraic torus of complexity 1. arXiv:1406.7736
Preprint, arXiv:1406.7736 [math.AG] (2014).
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