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27 April 2024
 
  » arxiv » cond-mat/0206164

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Effective field theory description of the higher dimensional quantum Hall liquid
B. Andrei Bernevig ; Chyh-Hong Chern ; Jiang-Ping Hu ; Nicolaos Toumbas ; Shou-Cheng Zhang ;
Date 11 Jun 2002
Journal Annals Phys. 300 (2002) 185
Subject cond-mat hep-th
AbstractWe derive an effective topological field theory model of the four dimensional quantum Hall liquid state recently constructed by Zhang and Hu. Using a generalization of the flux attachment transformation, the effective field theory can be formulated as a U(1) Chern-Simons theory over the total configuration space $CP_3$, or as a SU(2) Chern-Simons theory over $S^4$. The new quantum Hall liquid supports various types of topological excitations, including the 0-brane (particles), the 2-brane (membranes) and the 4-brane. There is a topological phase interaction among the membranes which generalizes the concept of fractional statistics.
Source arXiv, cond-mat/0206164
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