Nuclear Physics B

Critical behaviour of SU(n) quantum chains and topological non-linear σ-models

Ian K. Affleck

Published Dec 1, 1988• 137 citations

Publisher

DOI: 10.1016/0550-3213(88)90117-4

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The critical behaviour of SU(n) quantum ''spin'' chains, Wess-Zumino-Witten sigma-models and grassmanian sigma-models at topological angle theta = ..pi.. (of possible relevance to the quantum Hall effect) is reexamined. It is argued that an additional Z/sub n/ symmetry is generally necessary to stabilize the massless phase. This symmetry is not present for the sigma-models for n>2 and is only present for certain representations of ''spin'' chains.

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