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D-branes in Yang-Mills theory and Emergent Gauge Symmetry

2004/11/30 by Vijay Balasubramanian, David Berenstein, Bo Feng +1 · 4 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Brane cosmology #Cosmology and Gravitation Theories #Gauge symmetry #Gauge theory #Gauss's law #Geometry #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Symmetry (geometry) #Theoretical physics #hep-th

paper · pdf · doi:10.1088/1126-6708/2005/03/006

published as JHEP0503:006,2005 · 55 pages, 9 figures,uses young.sty (included). v2: reference added. v3: embedded the .sty file in the paper

arxiv created 2005/02/23 · openalex publication_date 2005/03/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

Four-dimensional supersymmetric SU(N) Yang-Mills theory on a sphere has highly charged baryon-like states built from anti-symmetric combinations of the adjoint scalars. We show that these states, which are equivalently described as holes in a free fermi sea of a reduced matrix model, are D-branes. Their excitations are stringlike and effectively realize Dirichlet and Neumann boundary conditions in various directions. The low energy brane dynamics should realize an emergent gauge theory that is local on a new space. We show that the Gauss' Law associated to this emergent gauge symmetry appears from combinatorial identities relating the stringy excitations. Although these excitations are not BPS, they can be near-BPS and we can hope to study them in perturbation theory. Accordingly, we show that the Chan-Paton factors expected for strings propagating on multiple branes arise dynamically, allowing the emergent gauge symmetry to be non-Abelian.

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