%0 Journal Article %T Relationship of Edge States to Anomaly and Construction of Dual Systems in Quantum Hall Systems %A Paul Bracken %J Journal of Modern Physics %P 850-863 %@ 2153-120X %D 2024 %I Scientific Research Publishing %R 10.4236/jmp.2024.156037 %X 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. %K Quantum %K Algebra %K Hall %K Conductivity %K Forms %K Chiral %K Fermion %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=133279