Undergraduate Lecture Notes in Topological Quantum Field Theory

Abstract

These third-year lecture notes are designed for a 1-semester course in topological quantum field theory (TQFT). Assumed background in mathematics and physics are only standard second-year subjects: multivariable calculus, introduction to quantum mechanics and basic electromagnetism. Keywords: quantum mechanics/field theory, path integral, Hodge decomposition, Chern-Simons and Yang-Mills gauge theories, conformal field theory

67 pages, 4 figures, corrected and extended

References in corpus (8)

• Non-Abelian Anyons and Topological Quantum Computation
• Reconstructing the Universe
• A Class of $P,T$-Invariant Topological Phases of Interacting Electrons
• The Universe from Scratch
• A Matrix Model for 2D Quantum Gravity defined by Causal Dynamical Triangulations
• On the degrees of freedom of lattice electrodynamics
• The Partition Function for Topological Field Theories
• Topological Concepts in Gauge Theories