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.
Paper II uses the idea that the anomalous dimension of a gauge theory operator can be interpreted as an eigenvalue of a spin chain Hamiltonian. The general Leigh-Strassler deformation is rewritten in terms of a spin-one spin chain and the integrability properties of the corresponding Hamiltonian are studied.
In paper III a non-commutative multiplication law, a star product, is defined. From this star product the general Leigh-Strassler deformation is obtained, and it is shown that the deformation only results in prefactors to the amplitudes of the undeformed theory.
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.
Paper II uses the idea that the anomalous dimension of a gauge theory operator can be interpreted as an eigenvalue of a spin chain Hamiltonian. The general Leigh-Strassler deformation is rewritten in terms of a spin-one spin chain and the integrability properties of the corresponding Hamiltonian are studied.
In paper III a non-commutative multiplication law, a star product, is defined. From this star product the general Leigh-Strassler deformation is obtained, and it is shown that the deformation only results in prefactors to the amplitudes of the undeformed theory.
| Original language | English |
|---|---|
| Qualification | Doctor |
| Awarding Institution | |
| Supervisors/Advisors |
|
| Award date | 2007 Jun 14 |
| Publisher | |
| ISBN (Print) | 978-91-628-7140-6 |
| Publication status | Published - 2007 |
Bibliographical note
Defence detailsDate: 2007-06-14
Time: 10:15
Place: Lecture Hall F of the Department of Theoretical Physics
External reviewer(s)
Name: Henningsson, Måns
Title: Associate professor
Affiliation: Fundamental fysik, Chalmers tekniska högskola
---
Subject classification (UKÄ)
- Subatomic Physics
Free keywords
- 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