Yang-Baxter equations for systems with boundaries and defects
Independent thesis Advanced level (degree of Master (Two Years)), 30 credits / 45 HE creditsStudent thesis
The Yang-Baxter equation appear in various situations in physics and mathematics. For example it arises as a consistency condition in integrable models. The reflection equation (boundary Yang-Baxter equation) is a generalization of the Yang-Baxter equation to systems with a boundary. A further generalization to systems with defects which admits both reflection and transmission can be made, which results in reflection-transmission Yang-Baxter equations.In this thesis the Yang-Baxter equation and the reflection equation are presented. Representations of the Temperley-Lieb algebra and the blob algebra are used to construct matrices which solve the respective equations. For the reflection-transmission Yang-Baxter equations, steps toward a solution are taken by using a similar approach as for the first two cases, namely by finding an algebra whose representations can be used to construct matrices which solve the equations.
Place, publisher, year, edition, pages
2009. , 59 p.
integrable models, algebras
IdentifiersURN: urn:nbn:se:kau:diva-6691Local ID: FYS D-3OAI: oai:DiVA.org:kau-6691DiVA: diva2:479161
Subject / course
UppsokPhysics, Chemistry, Mathematics