Browsing Pure & Applied Mathematics by Title
Now showing items 387-390 of 390
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Yang-Baxter integrable open quantum systems
(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
(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 ... -
The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring
(2007)We discuss the Zamolodchikov-Faddeev algebra for the superstring sigmamodel on AdS5 ? S5. We find the canonical su(2|2)2 invariant S-matrix satisfying the standard Yang-Baxter and crossing symmetry equations. Its ... -
A zero-mode quantization of the Skyrmion
(Elsevier, 2006)In the semi-classical approach to the Skyrme model, nuclei are approximated by quantum mechanical states on a finite-dimensional space of field configurations; in zero-mode quantization this space is generated by rotations ...