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Fractional Charge and Fractional Statistics & how they are connected

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If you have a question about this talk, please contact Bo Peng.

After a review of the history of the subject, I will discuss the claim that fractional charge by itself implies fractional statistics, and show that there is a loophole in the original argument for why this is the case. I will then provide an improved argument that also assumes that the system is in a fractional quantum Hall state. First I give a heuristic version of the argument and then a formal one. I also point out the failure of the original argument is connected to a 1-form t´Hooft anomaly in a Chern-Simons theory.

This talk is part of the Theory of Condensed Matter series.

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