2005/09/02 by Arnaud Koetsier, Koetsier, Arnaud · 3 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Materials science #Mathematics #Matrix (chemical analysis) #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #String (physics) #String theory #Theoretical physics #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0509024
published in arXiv (Cornell University) (Cornell University) · MSc. thesis, University of Utrecht. 121 pages. LaTeX
arxiv created 2005/09/02 · openalex publication_date 2005/09/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
After a brief review of critical string theory in trivial backgrounds we begin with introduction to strings in non--trivial backgrounds and noncritical string theory. In particular, we relate the latter to critical string theory in a linear dilaton background. We then show how a black hole background arises from 2D string theory and discuss some of its properties. A time--dependant tachyon background is constructed by perturbing the CFT describing string theory in a linear dilaton background. It is then explained that the T--dual of this theory with one non--vanishing tachyon coupling, which is a sine-Liouville CFT, is seemingly equivalent to the exact CFT describing the Euclidean black hole background. Subsequently, we launch into a review of some important facts concerning random matrix models and matrix quantum mechanics (MQM), culminating in an MQM model of 2D string theory in a dynamic tachyon background. We then solve this theory explicitly in the tree level approximation for the case of two non--vanishing tachyon couplings, which generalises the case of sine-Liouville CFT previously considered in the literature.