Introduction to Anomalies in Condensed Matter Physics - Lecture 1

Dive into a comprehensive lecture on anomalies in condensed matter physics delivered by Max Metlitski from MIT. Explore the general definition of topological phases and invertible phases, illustrated through a 1+1d Majorana chain and its connection to continuum field theory. Examine the concept of bordism invariance and the classification of invertible phases. Investigate invertible phases with Z classification, focusing on Chern Simons response in 2+1d p+ip superconductors. Delve into phases protected by symmetry and their implementation on lattices. Study in-cohomology SPT and Dijkgraaf-Witten theories, with a potential detailed analysis of the 2+1D Levin-Gu bosonic Z 2 SPT. This 1 hour and 32 minutes lecture, presented at the Institut des Hautes Etudes Scientifiques (IHES), offers a deep exploration of advanced topics in condensed matter physics for researchers and advanced students in the field.