Sökning: "Anton Alekseev"
Hittade 5 avhandlingar innehållade orden Anton Alekseev.
1. Universal algebraic structures on polyvector fields
Sammanfattning : The theory of operads is a conceptual framework that has become a kind of universal language, relating branches of topology and algebra. This thesis uses the operadic framework to study the derived algebraic properties of polyvector fields on manifolds.The thesis is divided into eight chapters. LÄS MER
2. Going Round in Circles : From Sigma Models to Vertex Algebras and Back
Sammanfattning : In this thesis, we investigate sigma models and algebraic structures emerging from a Hamiltonian description of their dynamics, both in a classical and in a quantum setup. More specifically, we derive the phase space structures together with the Hamiltonians for the bosonic two-dimensional non-linear sigma model, and also for the N=1 and N=2 supersymmetric models. LÄS MER
3. Strings, Conformal Field Theory and Noncommutative Geometry
Sammanfattning : This thesis describes some aspects of noncommutative geometry and conformal field theory. The motivation for the investigations made comes to a large extent from string theory. This theory is today considered to be the most promising way to find a solution to the problem of unifying the four fundamental interactions in one single theory. LÄS MER
4. Spin-offs from Stretching a Point : Strings, Branes and Higher Spin
Sammanfattning : String theory has proved to be a valuable theoretical laboratory for probing gravity and gauge theory in a unified framework. In this thesis some of the exciting spin-offs of string theory such as branes and higher spin are studied. After a review of the basics of string theory the four papers of the thesis are discussed. LÄS MER
5. Topics on D-branes and Holography
Sammanfattning : We discuss various aspects of D-branes in string theory and holography in string theory and loop quantum gravity.One way to study D-branes is from a microscopic perspective, using conformal field theory techniques. For example, we investigate the question of how D-branes can be introduced into orbifolded theories. LÄS MER