Introduction to topological field theory and anomalies in condensed matter
Modul:
Phy-Ma-Vert: Physikalische Vertiefung
Vorlesungssprache
Englisch
Inhalt der Lehrveranstaltung:
-Introduction and overview: topological invariants and quantum numbers
-Introduction to path integrals
-Nonlinear sigma models and topological action
-Wess-Zumino-Witten-Novikov terms
-Haldane's nonlinear sigma model theory of one-dimensional antiferromagnets: the role of topology
-Index theorems and topological quantum numbers. Applications to topological superconductivity
-Topological field theories of metals and insulators (topological insulators, Weyl semi-metals, etc.)
-Chiral anomaly and gravitational anomaly in topological matter