### Gauge Theory of States of Matter

Mathematical Physics Seminar

2nd November 2018, 2:00 pm – 3:00 pm

Howard House, 4th Floor Seminar Room

In an introduction I review various concepts and results from gauge theory, in particular the chiral anomaly and the chiral magnetic effect, and explain how they can be used to develop a "gauge theory of states of matter" complementing the well known Landau theory of phases and phase transitions.

I then discuss some concrete applications of the general theory, such as

- chiral edge currents in Hall- and Chern insulators

- chiral spin currents in planar time-reversal invariant insulators

- 3D time-reversal invariant topological insulators and Weyl semi-metals

I conclude with a summary and a list of open problems.

## Comments are closed.