Matrix model maps in AdS/CFT correspondence

2005/07/31 by Aristomenis Donos, Antal Jevicki, João Rodrigues +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Eigenvalues and eigenvectors #Extension (predicate logic) #Fermion #Kernel (algebra) #Mathematical analysis #Mathematical physics #Mathematics #Matrix (chemical analysis) #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Sequence (biology) #Set (abstract data type) #Theoretical physics #hep-th

paper · pdf · doi:10.1103/physrevd.72.125009

published as Phys.Rev.D72:125009,2005 · 43 pages; references added; typos corrected

arxiv created 2005/09/26 · openalex publication_date 2005/12/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We discuss an extension of a map between BPS states and free fermions. The extension involves states associated with a full two matrix problem which are constructed using a sequence of integral equations. A two parameter set of matrix model eigenstates is then related to states in SUGRA. Their wave functions are characterized by nontrivial dependence on the radial coordinate of AdS and of the Sphere, respectively. A kernel defining a one to one map between these states is then constructed.

Citations

• LLL vs. LLM: Half BPS sector of SYM ≡ quantum Hall system
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• Non-Abelian phenomena on D-branes
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• SUSY and Goliath
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• Bubbling orientifolds