2002/09/12 by Henriette Elvang, Joseph Polchinski, Elvang, Henriette +1 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Condensed Matter (cond-mat) #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #cond-mat #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0209104
24 pages
arxiv created 2002/09/12 · openalex publication_date 2002/09/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Zhang and Hu have formulated an SU(2) quantum Hall system on the four-sphere, with interesting three-dimensional boundary dynamics including gapless states of nonzero helicity. In order to understand the local physics of their model we study the U(1) and SU(2) quantum Hall systems on flat R4, with flat boundary R3. In the U(1) case the boundary dynamics is essentially one dimensional. The SU(2) theory can be formulated on R4 for any isospin I, but in order to obtain a flat boundary theory we must take I → ∞ as in Zhang and Hu. The theory simplifies in the limit, the boundary becoming a collection of one-dimensional systems. We also discuss general constraints on the emergence of gravity from nongravitational field theories.