Sökning: "R-matrix"
Hittade 5 avhandlingar innehållade ordet R-matrix.
1. Aspects of the Duality between Supersymmetric Yang-Mills Theory and String Theory
Sammanfattning : This thesis deals with three topics related to the Ads/CFT correspondence. In Paper I, solutions describing the geometry of fractional D1-branes of Type IIB string theory are presented. The running coupling constant is computed on the gauge theory side. LÄS MER
2. Infinite-dimensional Lie bialgebras and Manin pairs
Sammanfattning : This PhD thesis is devoted to the theory of infinite-dimensional Lie bialgebra structures as well as their close relatives such as r-matrices and Manin pairs. The thesis is based on three papers. Paper I. LÄS MER
3. Classification of classical twists of the standard Lie bialgebra structure on a loop algebra
Sammanfattning : This licentiate thesis is based on the work "Classification of classical twists of the standard Lie bialgebra structure on a loop algebra" by R. Abedin and the author of this thesis. The standard Lie bialgebra structure on an affine Kac-Moody algebra induces a Lie bialgebra structure on the underlying loop algebra and its parabolic subalgebras. LÄS MER
4. Soliton Methods in the Theory of Integrable Mechanical Systems
Sammanfattning : This dissertation is devoted to the study of integrable sets of mechanical equations with the use of soliton techniques. A Lax representation of the coupled Kortevegde Vries (cKdV) hierarchy with sow-ces is derived. LÄS MER
5. Atomic Processes in Stellar Atmospheres : Inelastic Collisions and Effects on Late-type Spectra
Sammanfattning : Chemical abundances as measured from stellar spectral lines are often subject to uncertainties due to lack of accurate data for inelastic collisions, which is needed for non-local thermodynamic equilibrium (non-LTE) modelling. For cool stars, understanding of collision processes with electrons and hydrogen atoms is required to achieve high precision measurements. LÄS MER