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The stringy quantum Hall fluid

Bergman, Oren and Okawa, Yuji and Brodie, John (2001) The stringy quantum Hall fluid. Journal of High Energy Physics, 2001 (11). Art. No. 019. ISSN 1126-6708. https://resolver.caltech.edu/CaltechAUTHORS:BERjhep01c

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Abstract

Using branes in massive type IIA string theory, and a novel decoupling limit, we provide an explicit correspondence between non-commutative Chern-Simons theory and the fractional quantum Hall fluid. The role of the electrons is played by D-particles, the background magnetic field corresponds to a RR 2-form flux, and the two-dimensional fluid is described by non-commutative D2-branes. The filling fraction is given by the ratio of the number of D2-branes and the number of D8-branes, and therefore by the ratio rank/level of the Chern-Simons gauge theory. Quasiparticles and quasiholes are realized as endpoints of fundamental strings on the D2-branes, and are found to possess fractional D-particle charges and fractional statistics.


Item Type:Article
Additional Information:Received 27 July 2001, accepted for publication 11 November 2001, Published 28 November 2001 Y.O. would like to thank Koji Hashimoto, Shinji Hirano, Ikuo Ichinose and Hirosi Ooguri for useful discussions. J.B. would like to thank Simeon Hellerman, Lenny Susskind, and Mark van Raamsdonk for helpful discussions. The work of O.B. was supported in part by the DOE under grant no. DE-FG03-92-ER40701, and by a Sherman Fairchild Prize Fellowship. The research of Y.O. was supported in part by the DOE grant DE-FG03-92ER40701. The work of J.B. was supported in part by the DOE grant DE-AC03-76SF00515. E-print number: hep-th/0107178
Subject Keywords:Chern-Simons Theories, D-branes
Issue or Number:11
Record Number:CaltechAUTHORS:BERjhep01c
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:BERjhep01c
Alternative URL:http://dx.doi.org/10.1088/1126-6708/2001/11/019
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2661
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:14 Apr 2006
Last Modified:02 Oct 2019 22:55

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