Results 21 to 30 of about 319 (51)

Inhomogeneous isotropic quantum spin chain associated with the difference Lamé equation

Forum of Mathematics, Sigma
The spectrum and orthogonal eigenbasis are computed of a tridiagonal matrix encoding a finite-dimensional reduction of the difference Lamé equation at the single-gap integral value of the coupling parameter.
Jan Felipe van Diejen
doaj   +1 more source

On Integrable Quantum Group Invariant Antiferromagnets [PDF]

, 1992
A new open spin chain hamiltonian is introduced. It is both integrable (Sklyanin`s type $K$ matrices are used to achieve this) and invariant under ${\cal U}_{\epsilon}(sl(2))$ transformations in nilpotent irreps for $\epsilon^3=1$. Some considerations on
Affleck, Arnaudon, Belavin, Berkovich, Bløte, C. Gómez, Cardy, Cardy, G. Sierra, Ge, Gómez, Gómez, Gómez, Gómez, Jones, Kauffman, Martin, Mezincescu, Moore, Pasquier, R. Cuerno, Rozansky, Sklyanin, Zamolodchikov   +23 more
core   +4 more sources

GOE and ${\rm Airy}_{2\to 1}$ marginal distribution via symplectic Schur functions [PDF]

, 2019
We derive Sasamoto's Fredholm determinant formula for the Tracy-Widom GOE distribution, as well as the one-point marginal distribution of the ${\rm Airy}_{2\to1}$ process, originally derived by Borodin-Ferrari-Sasamoto, as scaling limits of point-to-line
Bisi, Elia, Zygouras, Nikos
core   +2 more sources

Algebraic Bethe ansatz for open XXX model with triangular boundary matrices

, 2013
We consider open XXX spins chain with two general boundary matrices submitted to one constraint, which is equivalent to the possibility to put the two matrices in a triangular form. We construct Bethe vectors from a generalized algebraic Bethe ansatz. As
Belliard, S., Crampe, N., Ragoucy, E.
core   +3 more sources

Entanglement Properties of a Higher-Integer-Spin AKLT Model with Quantum Group Symmetry [PDF]

, 2012
We study the entanglement properties of a higher-integer-spin Affleck-Kennedy-Lieb-Tasaki model with quantum group symmetry in the periodic boundary condition.
Arita, Chikashi, Motegi, Kohei
core   +5 more sources

Free fermionic probability theory and k-theoretic schubert calculus

Forum of Mathematics, Sigma
For each of the four particle processes given by Dieker and Warren, we show the n-step transition kernels are given by the (dual) (weak) refined symmetric Grothendieck functions up to a simple overall factor. We do so by encoding the particle dynamics as
Shinsuke Iwao, Kohei Motegi, Travis Scrimshaw   +2 more
doaj   +1 more source

Identities in the Superintegrable Chiral Potts Model

, 2010
We present proofs for a number of identities that are needed to study the superintegrable chiral Potts model in the $Q\ne0$ sector.Comment: LaTeX 2E document, using iopart.cls with iopams packages. 11 pages, uses eufb10 and eurm10 fonts. Typeset twice!
Albertini G, Andrews G E, Au-Yang H, Au-Yang H, Au-Yang H Perk J H H, Baxter R J, Davies B, Helen Au-Yang, Iorgov N, Iorgov N, Jacques H H Perk, Lisovyy O, von Gehlen G, von Gehlen G, von Gehlen G, von Gehlen G   +15 more
core   +1 more source

Quantum Integrals for a Semi-Infinite $q$-Boson System with Boundary Interactions [PDF]

, 2015
We provide explicit formulas for the quantum integrals of a semi-infinite $q$-boson system with boundary interactions. These operators and their commutativity are deduced from the Pieri formulas for a $q\to 0$ Hall-Littlewood type degeneration of the ...
Emsiz, Erdal, van Diejen, Jan Felipe
core   +1 more source

Bounded Littlewood identity related to alternating sign matrices

Forum of Mathematics, Sigma
An identity that is reminiscent of the Littlewood identity plays a fundamental role in recent proofs of the facts that alternating sign triangles are equinumerous with totally symmetric self-complementary plane partitions and that alternating sign ...
Ilse Fischer
doaj   +1 more source

The Drinfel'd twisted XYZ model

, 1978
We construct a factorizing Drinfel'd twist for a face type model equivalent to the XYZ model. Completely symmetric expressions for the operators of the monodromy matrix are obtained.Comment: 15 pages, 4 figures, second preprint no.
AF Anderson, AJ Amman, AJ Amman, AN Theofilopoulos, G Mancini, J Katz, J Koistinen, JF Heremans, JF Leccee, JT Cassidy, JV Wills, MA South, NH Holland, O Ouchterlony, RD Peterson, RM Buckley   +15 more
core   +1 more source