Holomorphic and anti-holomorphic conductivity flows in the quantum Hall effect
Dolan, Brian P. (2011) Holomorphic and anti-holomorphic conductivity flows in the quantum Hall effect. Journal of Physics A: Mathematical and Theoretical, 44 (17501). pp. 1-11. ISSN 1751-8121
It is shown that the flow diagrams for the conductivities in the quantum Hall effect, arising from two ostensibly very different proposals based on modular symmetry, are in fact identical. The β-functions are different, the rate at which the flow lines are traversed are different, but the tangents to the flow lines are the same in both cases, hence the flow diagrams are same in all aspects.
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