Non-Abelian fractional quantum Hall states and chiral coset conformal field theories

Citation
Dc. Cabra et al., Non-Abelian fractional quantum Hall states and chiral coset conformal field theories, INT J MOD P, 15(30), 2000, pp. 4857-4870
Citations number
32
Categorie Soggetti
Physics
Journal title
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
ISSN journal
0217751X → ACNP
Volume
15
Issue
30
Year of publication
2000
Pages
4857 - 4870
Database
ISI
SICI code
0217-751X(200012)15:30<4857:NFQHSA>2.0.ZU;2-4
Abstract
We propose an effective Lagrangian for the low energy theory of the Pfaffia n states of the fractional quantum Hall effect in the bulk in terms of non- Abelian Chern-Simons (CS) actions. Our approach exploits the connection bet ween the topological Chern-Simons theory and chiral conformal field theorie s. This construction can be used to describe a large class of non-Abelian F QH states.