Quantum Hall Physics in String Theory

Abstract

In certain backgrounds string theory exhibits quantum Hall-like behavior. These backgrounds provide an explicit realization of the effective non-commutative gauge theory description of the fractional quantum Hall effect (FQHE), and of the corresponding large N matrix model. I review results on the string theory realization of the two-dimensional fractional quantum Hall fluid (FQHF), and describe new results on the stringy description of higher-dimensional analogs.

8 pages, 2 figures, AMSLatex (ws-procs9x6square.cls included). Based on talk given at QTS3 (Cincinnati, OH, Sept. 2003.)

References in corpus (1)

• Effective field theory description of the higher dimensional quantum Hall liquid

Cited by in corpus (4)

• Engineering of Quantum Hall Effect from Type IIA String Theory on The K3 Surface
• Brane Realizations of Quantum Hall Solitons and Kac-Moody Lie Algebras
• De Sitter space constraints on brane tensions and couplings
• Fractional Quantum Hall Filling Factors from String Theory using Toric Geometry