Published February 9, 2012 | Version v1
Journal article

Remarks on rational solutions of Yang-Baxter equations

  • 1. Mathematisches Institut, Universität Bonn, Endenicher Allee 60, 53115 Bonn (Germany)

Description

In this article, we study unitary rational solutions of the associative Yang-Baxter equation with three spectral parameters. We explain how such solutions arise from the geometry of vector bundles on a cuspidal cubic curve. Moreover, we investigate how these solutions are related to the quantum and classical Yang-Baxter equations.

Availability note (English)

Available from http://dx.doi.org/10.1088/1742-6596/346/1/012007

Additional details

Publishing Information

Journal Title
Journal of Physics. Conference Series (Online)
Journal Volume
346
Journal Issue
1
Journal Page Range
[15 p.]
ISSN
1742-6596

Conference

Title
6. Baltic-Nordic workshop on algebra, geometry, and mathematical physics
Acronym
AGMP-6
Dates
25-31 Oct 2011
Place
Tjaernoe (Sweden)

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
43105224
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
CUSPED GEOMETRIES; FIELD EQUATIONS; GEOMETRY; MATHEMATICAL SOLUTIONS; QUANTUM MECHANICS; UNITARITY; VECTORS
Descriptors DEC
EQUATIONS; MAGNETIC FIELD CONFIGURATIONS; MATHEMATICS; MECHANICS; OPEN CONFIGURATIONS; TENSORS