Relationship of Edge States to Anomaly and Construction of Dual Systems in Quantum Hall Systems ()
ABSTRACT
The hierarchy of bulk actions is developed which are associated with Chern-Simons theories. The connection between the bulk and edge arising from the requirement there is a cancelation of an anomaly which arises in the theory. A duality transformation is studied for the Chern-Simons example. The idea that is used has been employed to describe duality in a scalar theory. The link between the edge theory with the Chern-Simons theory in the bulk then suggests that similar transformations can be implemented in the bulk Chern-Simons theory as well.
Share and Cite:
Bracken, P. (2024) Relationship of Edge States to Anomaly and Construction of Dual Systems in Quantum Hall Systems.
Journal of Modern Physics,
15, 850-863. doi:
10.4236/jmp.2024.156037.
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