- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- BIRS Workshop Lecture Videos /
- Bridging the gap between lattice models and TQFTs
Open Collections
BIRS Workshop Lecture Videos
BIRS Workshop Lecture Videos
Bridging the gap between lattice models and TQFTs Levin, Michael
Description
Every (2+1) dimensional quantum many-body system with an energy gap is believed to be described by a topological quantum field theory (TQFT) in the low energy limit. What this means concretely is that every many-body system of this kind is associated with a collection of universal topological data. Some of this data, however, is missing a precise definition that would allow for its computation from a microscopic Hamiltonian. In this talk, I will address this issue by giving a microscopic definition of the âF-symbolâ --- one of the most poorly understood pieces of data that characterize TQFTs. I will also discuss applications of this definition to the computation of anomalies at the boundaries of (2+1) dimensional symmetry-protected topological phases.
Item Metadata
| Title |
Bridging the gap between lattice models and TQFTs
|
| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
|
| Date Issued |
2019-06-03T11:30
|
| Description |
Every (2+1) dimensional quantum many-body system with an energy gap is believed to be described by a topological quantum field theory (TQFT) in the low energy limit. What this means concretely is that every many-body system of this kind is associated with a collection of universal topological data. Some of this data, however, is missing a precise definition that would allow for its computation from a microscopic Hamiltonian. In this talk, I will address this issue by giving a microscopic definition of the âF-symbolâ --- one of the most poorly understood pieces of data that characterize TQFTs. I will also discuss applications of this definition to the computation of anomalies at the boundaries of (2+1) dimensional symmetry-protected topological phases.
|
| Extent |
61.0 minutes
|
| Subject | |
| Type | |
| File Format |
video/mp4
|
| Language |
eng
|
| Notes |
Author affiliation: University of Chicago
|
| Series | |
| Date Available |
2019-12-01
|
| Provider |
Vancouver : University of British Columbia Library
|
| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
| DOI |
10.14288/1.0386658
|
| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
|
| Scholarly Level |
Researcher
|
| Rights URI | |
| Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International