2005/05/25 by Ahmad Ghodsi, A. Ghodsi, A. E. Mosaffa +4 · 4 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Fractional quantum Hall effect #Geometry #Gravitation #Graviton #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum spin Hall effect #Symmetry (geometry) #Theoretical physics #cond-mat.mes-hall #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2005.08.042
published as Nucl.Phys.B729:467-491,2005 · 32 pages, 4 figures; v2: A typo fixed, references added
arxiv created 2005/05/25 · openalex publication_date 2005/09/13 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper we elaborate on the correspondence between the quantum Hall system with filling factor equal to one and the N=4 SYM theory in the 1/2 BPS sector, previously mentioned in the [hep-th/0409174, hep-th/0409115]. We show the equivalence of the two in various formulations of the quantum Hall physics. We present an extension of the noncommutative Chern-Simons Matrix theory which contains independent degrees of freedom (fields) for particles and quasiholes. The BPS configurations of our model, which is a model with explicit particle-quasihole symmetry, are in one-to-one correspondence with the 1/2 BPS states in the N=4 SYM. Within our model we shed light on some less clear aspects of the physics of the N=4 theory in the 1/2 BPS sector, like the giant dual-giant symmetry, stability of the giant gravitons, and stringy exclusion principle and possible implications of the (fractional) quantum Hall effect for the AdS/CFT correspondence.