Video URL

https://pirsa.org/13020148

Gravitational anomaly and topological phases

Ryu, S. (2013). Gravitational anomaly and topological phases. Perimeter Institute for Theoretical Physics. https://pirsa.org/13020148

Ryu, Shinsei. Gravitational anomaly and topological phases. Perimeter Institute for Theoretical Physics, Feb. 28, 2013, https://pirsa.org/13020148 

          @misc{ scivideos_PIRSA:13020148,
            doi = {10.48660/13020148},
            url = {https://pirsa.org/13020148},
            author = {Ryu, Shinsei},
            keywords = {Quantum Matter},
            language = {en},
            title = {Gravitational anomaly and topological phases},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2013},
            month = {feb},
            note = {PIRSA:13020148 see, \url{https://scivideos.org/index.php/pirsa/13020148}}
          }

Shinsei Ryu University of Illinois at Urbana-Champaign (UIUC)

DOI 10.48660/13020148
Source Repository PIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

Since the quantum Hall effect, the notion of topological phases of matter has been extended to those that are well-defined (or: ``protected'') in the presence of a certain set of symmetries, and that exist in dimensions higher than two. In the (fractional) quantum Hall effects (and in ``chiral'' topological phases in general), Laughlin's thought experiment provides a key insight into their topological characterization; it shows a close connection between topological phases and quantum anomalies. By taking various examples, I will demonstrate that quantum anomalies serve as a useful tool to diagnose (and even define) topological properties of the systems. For chiral topological phases in (2+1) dimensions and (3+1) dimensional topological superconductors, I will discuss topological responses of the system which involve a cross correlation between thermal transport, angular momentum, and entropy. We also argue that gravitational anomaly is useful to study symmetry protected topological phases in (2+1) dimensions.