Undergraduate Lecture Notes in Topological Quantum Field Theory
Vladimir G. Ivancevic, Tijana T. Ivancevic
TL;DR
This paper provides comprehensive lecture notes on topological quantum field theory, covering fundamental concepts, mathematical tools, and key theories suitable for advanced undergraduate students with basic physics and mathematics background.
Contribution
It offers an accessible, structured introduction to TQFT, integrating mathematical techniques and physical theories, tailored for third-year students with minimal prerequisites.
Findings
Clarifies the mathematical foundations of TQFT
Introduces key theories like Chern-Simons and Yang-Mills
Provides pedagogical insights for teaching TQFT
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
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Noncommutative and Quantum Gravity Theories · Topological Materials and Phenomena