Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-05-21
Mod.Phys.Lett. A11 (1996) 55-68
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, LaTeX (or better LaTeX2e), no figures, also available at http://www.sns.ias.edu/~flohr/
Scientific paper
We propose a new way for describing the transition between two quantum Hall effect states with different filling factors within the framework of rational conformal field theory. Using a particular class of non-unitary theories, we explicitly recover Jain's picture of attaching flux quanta by the fusion rules of primary fields. Filling higher Landau levels of composite fermions can be described by taking tensor products of conformal theories. The usual projection to the lowest Landau level corresponds then to a simple coset of these tensor products with several U(1)-theories divided out. These two operations -- the fusion map and the tensor map -- can explain the Jain series and all other observed fractions as exceptional cases. Within our scheme of transitions we naturally find a field with the experimentally observed universal critical exponent 7/3.
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