Continuous representations of scalar products of Bethe vectors

2016/07/31 by W. Galleas · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Bethe ansatz #Boundary (topology) #Boundary value problem #Parameterized complexity #Random Matrices and Applications #Scalar (mathematics) #Variable (mathematics) #cond-mat.stat-mech #hep-th #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.1063/1.4997156

published in Journal of Mathematical Physics 58(8) (American Institute of Physics) · 21 pages; v2: minor stylistic changes, missing factor in 3.15 and 3.16 added

openalex created_date 2016/08/23 · arxiv created 2016/09/22 · openalex publication_date 2017/08/01 · arxiv updated 2017/09/13 · openalex updated_date 2026/08/05

Abstract

We present families of single determinantal representations of on-shell scalar products of Bethe vectors. Our families of representations are parameterized by a continuous complex variable which can be fixed at one’s convenience. Here we consider Bethe vectors in two versions of the six-vertex model: the case with boundary twists and the case with open boundaries.

Citations

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