Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

Spectral Curves and Parameterization of a Discrete Integrable Three-dimensional Model

Simple item page
dc.contributor.authorPakuliak, S
dc.contributor.authorSergeev, Sergey
dc.date.accessioned2015-12-13T23:12:00Z
dc.date.issued2003
dc.date.updated2015-12-12T08:29:59Z
dc.description.abstractWe consider a discrete classical integrable model on a three-dimensional cubic lattice. The solutions of this model can be used to parameterize the Boltzmann weights of various three-dimensional spin models. We find the general solution of this model constructed in terms of the theta functions defined on an arbitrary compact algebraic curve. Imposing periodic boundary conditions fixes the algebraic curve. We show that the curve then coincides with the spectral curve of the auxiliary linear problem. For a rational curve, we construct the soliton solution of the model.
dc.identifier.issn0040-5779
dc.identifier.urihttp://hdl.handle.net/1885/87848
dc.publisherPlenum Publishing Corporation
dc.sourceTheoretical and Mathematical Physics
dc.subjectKeywords: Bäcklund transformations; Spectral curves; Three-dimensional integrable systems
dc.titleSpectral Curves and Parameterization of a Discrete Integrable Three-dimensional Model
dc.typeJournal article
local.bibliographicCitation.issue1
local.bibliographicCitation.lastpage935
local.bibliographicCitation.startpage917
local.contributor.affiliationPakuliak, S, Joint Institute for Nuclear Research, Moscow
local.contributor.affiliationSergeev, Sergey, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidSergeev, Sergey, u4061711
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor010501 - Algebraic Structures in Mathematical Physics
local.identifier.ariespublicationMigratedxPub17313
local.identifier.citationvolume136
local.identifier.doi10.1023/A:1024541320960
local.identifier.scopusID2-s2.0-0037489788
local.type.statusPublished Version

Downloads

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
01_Pakuliak_Spectral_Curves_and_2003.pdf
Size:
251.72 KB
Format:
Adobe Portable Document Format
Download

Collections

ANU Research Publications

DSpace software copyright © 2002-2026 LYRASIS