Quantum Hall effect on S 3 , edge states and fuzzy S
نویسندگان
چکیده
We analyze the Landau problem and quantum Hall effect on S 3 taking a constant background field proportional to the spin connection on S 3. The effective strength of the field can be tuned by changing the dimension of the representation to which the fermions belong. The effective action for the edge excitations of a quantum Hall droplet in the limit of a large number of fermions is obtained. We find that the appropriate space for many of these considerations is S 2 × S 2 , which plays a role similar to that of CP 3 visa -vis S 4. We also give a method of representing the algebra of functions on fuzzy S 3 /Z 2 in terms of finite dimensional matrices.
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