Speaker
Anton Kapustin
(California Institute of Technology)
Description
I discuss some analogies between the Haag-Kastler approach to QFT and quantum statistical mechanics of lattice systems. As an illustrative example, I consider the interpretation of the Hall conductance of gapped 2d lattice systems as an obstruction to gauging a global symmetry of a gapped state. I argue that in order to define a proper analog of the net of algebras of observables one needs to study a category of subsets of the lattice equipped with a natural Grothendieck topology.
External references
- 24030078
- 14ef2ca2-785d-41ad-9fb0-7f7b5dff02a6
