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Article overview
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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 | Abstract: | We 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 | Services: | Forum | Review | PDF | Favorites |
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