TY - JOUR

T1 - Nonabelions in the fractional quantum hall effect

AU - Moore, Gregory

AU - Read, Nicholas

N1 - Funding Information:
One of us (G.M.) would like to thank Nathan Seiberg for a previous collaboration on the relation between anycns and RCFT, especially in connection with the relationship of refs. \[4,6 \]. We would like to thank the Aspen Center for Physics where this work was begun. Finally, we would like to thank H. Mathur, A. Morozov, K. Rabe, and R. Shankar for useful discussions. The work of G.M. was supported by DOE under contract DE-AC02-76ER03075. The work of N.R. was supported in part by an Alfred P. Sloan Research Fellowship.

PY - 1991/8/19

Y1 - 1991/8/19

N2 - Applications of conformal field theory to the theory of fractional quantum Hall systems are discussed. In particular, Laughlin's wave function and its cousins are interpreted as conformal blocks in certain rational conformal field theories. Using this point of view a hamiltonian is constructed for electrons for which the ground state is known exactly and whose quasihole excitations have nonabelian statistics; we term these objects "nonabelions". It is argued that universality classes of fractional quantum Hall systems can be characterized by the quantum numbers and statistics of their excitations. The relation between the order parameter in the fractional quantum Hall effect and the chiral algebra in rational conformal field theory is stressed, and new order parameters for several states are given.

AB - Applications of conformal field theory to the theory of fractional quantum Hall systems are discussed. In particular, Laughlin's wave function and its cousins are interpreted as conformal blocks in certain rational conformal field theories. Using this point of view a hamiltonian is constructed for electrons for which the ground state is known exactly and whose quasihole excitations have nonabelian statistics; we term these objects "nonabelions". It is argued that universality classes of fractional quantum Hall systems can be characterized by the quantum numbers and statistics of their excitations. The relation between the order parameter in the fractional quantum Hall effect and the chiral algebra in rational conformal field theory is stressed, and new order parameters for several states are given.

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U2 - 10.1016/0550-3213(91)90407-O

DO - 10.1016/0550-3213(91)90407-O

M3 - Article

AN - SCOPUS:1842460762

SN - 0550-3213

VL - 360

SP - 362

EP - 396

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 2-3

ER -