Holomorphic and anti-holomorphic conductivity flows in the quantum Hall effect

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 rates 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.

• Publication year

  2010

• Venue

  Journal of Physics A: Mathematical and Theoretical

• Publication date

  2010-11-30

• Fields of study

  Physics

• Identifiers
  DOI 10.1088/1751-8113/44/17/175001arXiv 1011.6641
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

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• No concepts are published for this paper.

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