Equivariant Higher Berry classes and chiral states
APA
Sopenko, N. (2022). Equivariant Higher Berry classes and chiral states. Perimeter Institute. https://pirsa.org/22120050
MLA
Sopenko, Nikita. Equivariant Higher Berry classes and chiral states. Perimeter Institute, Dec. 05, 2022, https://pirsa.org/22120050
BibTex
@misc{ pirsa_PIRSA:22120050, doi = {10.48660/22120050}, url = {https://pirsa.org/22120050}, author = {Sopenko, Nikita}, keywords = {Condensed Matter}, language = {en}, title = {Equivariant Higher Berry classes and chiral states}, publisher = {Perimeter Institute}, year = {2022}, month = {dec}, note = {PIRSA:22120050 see, \url{https://pirsa.org}} }
I will talk about the generalization of Berry classes for quantum lattice spin systems. It defines invariants of topologically ordered states or families thereof. In particular, its equivariant version for 2d gapped states gives the zero-temperature Hall conductance and its various generalizations. I will also discuss the construction of chiral states realizing the topological order associated with a unitary rational vertex operator algebra for which these invariants are non-trivial
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