Sökning: "Matematisk fysik"
Visar resultat 1 - 5 av 131 avhandlingar innehållade orden Matematisk fysik.
1. On string integrability : A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
Sammanfattning : One of the main topics in the modern String Theory are the conjectured string/gauge (AdS/CFT) dualities. Proving such conjectures is extremely difficult since the gauge and string theory perturbative regimes do not overlap. In this perspective, the discovery of infinitely many conserved charges, i.e. LÄS MER
2. Abelian Extensions, Fractional Loop Group and Quantum Fields
Sammanfattning : This thesis deals with the theory of Lie group extensions, Lie conformal algebras and twisted K-theory, in the context of quantum physics. These structures allow for a mathematically precise description of certain aspects of interacting quantum field theories. LÄS MER
3. Group Extensions, Gerbes and Twisted K-theory
Sammanfattning : This thesis reviews the theory of group extensions, gerbes and twisted K-theory. Application to anomalies in gauge theory is briefly discussed. The main results are presented in two appended scientific papers. LÄS MER
4. Aspects of extra dimensions and membranes
Sammanfattning : This thesis is about thwo papers related to extra dimensions. Paper A discusses extrinsic curvature effects, and paper B treats symmetries of supersymmetric membranes. In the part of this thesis related to paper A, we extend the theory of non-relativistic quantum particles confined to submanifolds to relativistic boson fields. LÄS MER
5. Exactly solved quantum many-body systems in one dimension
Sammanfattning : This thesis is devoted to the study of various examples of exactly solved quantum many-body systems in one-dimension. It is divided into two parts: the first provides background and complementary results to the second, which consists of three scientific papers. LÄS MER