Line Defect Quantum Numbers and Anomalies
APA
Dumitrescu, T. (2022). Line Defect Quantum Numbers and Anomalies. Perimeter Institute. https://pirsa.org/22060021
MLA
Dumitrescu, Thomas. Line Defect Quantum Numbers and Anomalies. Perimeter Institute, Jun. 10, 2022, https://pirsa.org/22060021
BibTex
@misc{ pirsa_PIRSA:22060021, doi = {10.48660/22060021}, url = {https://pirsa.org/22060021}, author = {Dumitrescu, Thomas}, keywords = {Mathematical physics}, language = {en}, title = {Line Defect Quantum Numbers and Anomalies}, publisher = {Perimeter Institute}, year = {2022}, month = {jun}, note = {PIRSA:22060021 see, \url{https://pirsa.org}} }
University of California, Los Angeles
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Abstract
I will consider four-dimensional gauge theories whose global symmetries admit certain discrete ’t Hooft anomalies that are intimately related to the (fractionalized) global-symmetry quantum numbers of Wilson-’t Hooft line defects in the theory. Determining these quantum numbers is typically straightforward for Wilson lines, but requires a careful analysis of fermion zero modes for ’t Hooft lines, which I will describe for several classes of examples. This in turn leads to a calculation of the anomaly. Along the way I will comment on how this understanding relates to some classic and recent examples in the literature.