Browsing Pure & Applied Mathematics (Theses and Dissertations) by Title

Now showing items 67-68 of 68

    • Yang-Baxter integrable open quantum systems 

      Paletta, Chiara (Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2023)
      The main result of this thesis is the use of the boost operator to develop a systematic method to construct new integrable spin chains with nearest-neighbour interaction and characterized by an R-matrix of non-difference ...

    • Yang-Mills instantons on the taub-NUT space and supersymmetric N=2 gauge theories with impurities 

      O'Hara, Clare (Trinity College (Dublin, Ireland). School of Mathematics, 2010)
      We write a formula for arbitrary charge calorons, instantons on R3 x S1, in terms of the Green's function of the Laplacian defined for the Nahm Transform, thus generalising the formula for the charge one caloron derived ...