English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

In the paper [H.Boos, A.Hutsalyuk and Kh.Nirov, J.Phys.A:Math.Theor. 51(2018) 445202] the reduced density matrix of the sl(3)-invariant fundamentalexchange model was calculated for the operator length up to three by means ofthe reduced quantum Knizhnik-Zamolodchikov equation. In this paper we presentthe solution of some special difference problem originated from the study ofthe reduced density matrix for the operator length 4. This difference problemis related to a four-dimensional zero-curvature condition and has a cleargeometrical meaning were we have a trivial fiber bundle CP^3 x C^4 with avector function which takes value in C^4 and the base being the projectivespace CP^3. The local connection coefficients satisfy the above mentionedzero-curvature or flatness condition. The solution we discuss here is given interms of the Gamma-function, its logarithmic derivative, hypergeometricfunctionand some other related functions defined via the functional relationsof difference type.

Flat connection on four-dimensional lattice, related matrix difference equations and their solutions