BMS Particles in Three Dimensions [electronic resource] /
Oblak, Blagoje.author.
This thesis presents the state of the art in the study of Bondi-Metzner-Sachs (BMS) symmetry and its applications in the simplified setting of three dimensions. It focuses on presenting all the background material in a pedagogical and self-contained manner to enable readers to fully appreciate the original results that have been obtained while learning a number of fundamental concepts in the field along the way. This makes it a highly rewarding read and a perfect starting point for anybody with a serious interest in the four-dimensional problem.
"Doctoral Thesis accepted by Free University of Brussels, Belgium."
Includes bibliographical references at the end of each chapters and index.
Introduction -- Part I: Quantum Symmetries -- Quantum Mechanics and Central Extensions -- Induced Representations --  Semi-direct Products -- Coadjoint Orbits and Geometric Quantization -- Part II: Virasoro Symmetry and AdS3 Gravity -- The Virasoro Group -- Virasoro Coadjoint Orbits -- Symmetries of Gravity in AdS3 -- Part III: BMS3 Symmetry and Gravity in Flat Space -- Classical BMS3 Symmetry -- Quantum BMS3 Symmetry -- Partition Functions and Characters -- Conclusions.
This thesis presents the state of the art in the study of Bondi-Metzner-Sachs (BMS) symmetry and its applications in the simplified setting of three dimensions. It focuses on presenting all the background material in a pedagogical and self-contained manner to enable readers to fully appreciate the original results that have been obtained while learning a number of fundamental concepts in the field along the way. This makes it a highly rewarding read and a perfect starting point for anybody with a serious interest in the four-dimensional problem.
Gravitation.
Cosmology.
Mathematical physics.
Classical and Quantum Gravitation, Relativity Theory.
Cosmology.
Mathematical Applications in the Physical Sciences.