Search for dissertations about: "non-commutative geometry"

Found 4 swedish dissertations containing the words non-commutative geometry.

2. 1. Torn, Spun and Chopped : Various Limits of String Theory

   Author : Fredric Kristiansson; Ulf Danielsson; Per Sundell; Bo Sundborg; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Theoretical physics; Theoretical physics; String theory; D-branes; Non-commutative open string theory; AdS CFT; Higher spin gauge theory; BMN; String bits; Fermion doubling; Teoretisk fysik; Physics; Fysik;

   Abstract : For the first time in the history of physics we stand in front of a theory that might actually serve as a unification of it all - string theory. It provides a self-consistent framework for gravity and quantum mechanics, which naturally incorporates matter and gauge interactions of the type seen in the standard model. READ MORE

4. 2. Canonical Bases for Algebraic Computations

   Author : Patrik Nordbeck; Algebra; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; gruppteori; algebra; algebraisk geometri; fältteori; Talteori; group theory; algebraic geometry; field theory; Matematik; Number Theory; regular languages; Mathematics; composition of polynomials; factor algebras; Gröbner bases; SAGBI bases;

   Abstract : This thesis deals with computational methods in algebra, mainly focusing on the concept of Gröbner and SAGBI bases in non-commutative algebras. The material has a natural division into two parts. The first part is a rather extensive treatment of the basic theory of Gröbner bases and SAGBI bases in the non-commutative polynomial ring. READ MORE

5. 3. Aspects of the Duality between Supersymmetric Yang-Mills Theory and String Theory

   Author : Daniel Bundzik; Teoretisk partikelfysik - Geonomgår omorganisation; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matematisk och allmän teoretisk fysik; classical mechanics; quantum mechanics; relativity; gravitation; statistical physics; thermodynamics; Natural science; Naturvetenskap; Physics; Fysik; Mathematical and general theoretical physics; Star product; Leigh-Strassler deformation; R-matrix; Integrability; Spin-chains; Fractional D-branes; type IIB string theory; AdS CFT-correspondence; gauge gravity correspondence; kvantmekanik; klassisk mekanik; termodynamik; statistisk fysik; relativitet;

   Abstract : 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. READ MORE

6. 4. Strings, boundary fermions and coincident D-branes

   Author : Linus Wulff; Ulf Lindström; Fawad Hassan; Dmitri Sorokin; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; string theory; open strings; D-branes; supersymmetry; non-abelian gauge theory; tensionless strings; Physics; Fysik;

   Abstract : The appearance in string theory of higher-dimensional objects known as D-branes has been a source of much of the interesting developements in the subject during the past ten years. A very interesting phenomenon occurs when several of these D-branes are made to coincide: The abelian gauge theory living on each brane is enhanced to a non-abelian gauge theory living on the stack of coincident branes. READ MORE