Fivebranes from gauge theory

2005/09/30 by Hai Lin, Juan Maldacena · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Class (philosophy) #Combinatorics #Cosmology and Gravitation Theories #Dual polyhedron #Gauge group #Gauge theory #M-theory #Mathematical physics #Mathematics #N = 4 supersymmetric Yang–Mills theory #Particle physics theoretical and experimental studies #Physics #Quantum #Quantum gravity #Quantum mechanics #Relationship between string theory and quantum field theory #Spectrum (functional analysis) #String theory #Supergravity #Supersymmetry #Theoretical physics #Yang–Mills existence and mass gap #Yang–Mills theory #hep-th

paper · pdf · doi:10.1103/physrevd.74.084014

published as Phys.Rev.D74:084014,2006 · 50+24 pages, 9 figures, latex. v2: typos corrected, references added

arxiv created 2006/08/10 · openalex publication_date 2006/10/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study theories with 16 supercharges and a discrete energy spectrum. One class of theories has symmetry group SU(2|4). They arise as truncations of N=4 super Yang-Mills theory. They include the plane-wave matrix model, 2+1 super Yang-Mills theory on R\ifmmode×\else\texttimes\fiS² and N=4 super Yang-Mills theory on R\ifmmode×\else\texttimes\fiS³/Z_k. We explain how to obtain their gravity duals in a unified way. We explore the regions of the geometry that are relevant for the study of some 1/2 BPS and near BPS states. This leads to a class of two dimensional (4,4) supersymmetric sigma models with nonzero H flux, including a massive deformed WZW model. We show how to match some features of the string spectrum with the Yang-Mills theory. The other class of theories are also connected to N=4 super Yang-Mills theory and arise by making some of the transverse scalars compact. Their vacua are characterized by a 2D Yang-Mills theory or 3D Chern-Simons theory. These theories realize peculiar super-Poincar'e symmetry algebras in 2+1 or 1+1 dimensions with ``noncentral'' charges. We finally discuss gravity duals of N=4 super Yang-Mills theory on AdS₃\ifmmode×\else\texttimes\fiS¹.

Citations

• New theories in six dimensions and matrix description of M-theory on T5 and
• Supersymmetric String Solitons
• Another Conjecture about M(atrix) Theory
• Script N = (4, 4) Type IIA String Theory on PP-Wave Background
• BPS geometries and AdS bubbles
• Soliton Solutions to the Einstein Equations in Five Dimensions
• Protected Multiplets of M-Theory on a Plane Wave
• Supersymmetries and their representations
• The pp-wave limits of orbifolded AdS5×S5
• A class of exact pp-wave string models with interacting light-cone gauge actions
• 1/2BPS geometries of M2 giant gravitons
• COARSE-GRAINING 1/2 BPS GEOMETRIES OF TYPE IIB SUPERGRAVITY
• The Supergravity Dual of the BMN Matrix Model
• Strings on pp-waves and massive two dimensional field theories
• All possible generators of supersymmetries of the S-matrix
• Solvable type IIA string theory in plane-wave background and D-branes
• A Dielectric Flow Solution with Maximal Supersymmetry
• Matrix description of M-theory on T4 and T5
• Mtheory as a matrix model: A conjecture
• D-branes, Quivers, and ALE Instantons
• Exact anomalous dimensions of N=4 Yang–Mills operators with large R charge
• D-brane field theory on compact spaces
• Lie superalgebras

Cited by

• On the existence of supergravity duals to D1-D5 CFT states
• On Toda equation and half BPS supergravity solution in M-theory