Fivebranes from gauge theory

Abstract

We study theories with sixteen supercharges and a discrete energy spectrum. One class of theories has symmetry group $SU(2|4)$. They arise as truncations of $\mathcal{N}=4$ super Yang Mills. They include the plane wave matrix model, 2+1 super Yang Mills on $R\times S^2$ and $\mathcal{N}=4$ super Yang Mills on $R\times S^3/Z_k$. 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 non-zero $H$ 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 $\mathcal{N}=4$ super Yang Mills 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 superpoincare symmetry algebras in 2+1 or 1+1 dimensions with "non-central" charges. We finally discuss gravity duals of $\mathcal{N}=4$ super Yang Mills on $Ad{S}_3\times S^1$.

50+24 pages, 9 figures, latex. v2: typos corrected, references added

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• D-brane field theory on compact spaces
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• Strings from Matrices
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• Overlapping Branes in M-Theory
• Gauge Fields and Space-Time
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• String Expansion as Large N Expansion of Gauge Theories
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• Superstrings in Graviphoton Background and N=1/2+3/2 Supersymmetry
• Plane-wave Matrix Theory from N=4 Super Yang-Mills on RxS^3
• All loop BMN state energies from matrices
• Rotational Invariance in the M(atrix) Formulation of Type IIB Theory
• Fermions from Half-BPS Supergravity
• The PP-Wave Limits of Orbifolded AdS_5x S^5
• Strings from Quivers, Membranes from Moose
• Protected Multiplets of M-Theory on a Plane Wave
• BMN Operators and Superconformal Symmetry
• Strings on pp-waves and massive two dimensional field theories
• The Library of Babel
• I-Brane Dynamics
• Superstring on PP-Wave Orbifold from Large-N Quiver Gauge Theory
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• Superalgebra for M-theory on a pp-wave
• BPS Geometries and AdS Bubbles
• On the Spectrum of PP-Wave Matrix Theory
• A harmonic family of dielectric flow solutions with maximal supersymmetry
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• Strings on Orbifolded PP-waves
• A class of exact pp-wave string models with interacting light-cone gauge actions
• A Comment on String Solitons
• On the Integrability of large N Plane-Wave Matrix Theory
• Planar plane-wave matrix theory at the four loop order: Integrability without BMN scaling
• A Soluble String Theory of Hadrons
• Penrose Limits of Orbifolds and Orientifolds
• Black holes and membranes in AdS_7
• From AdS Black Holes to Supersymmetric Flux-branes
• N=(4,4) Type IIA String Theory on PP-Wave Background
• Soliton Solutions to the Einstein Equations in Five Dimensions
• Thermodynamics of R-charged Black Holes in AdS(5) From Effective Strings
• A Dielectric Flow Solution with Maximal Supersymmetry
• Rational foundation of GR in terms of statistical mechanic in the AdS/CFT framework
• Fuzzy Spheres in pp Wave Matrix String Theory
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• Black Hole Statistics from Holography
• Bosonization of non-relativstic fermions in 2-dimensions and collective field theory
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• The Supergravity Dual of the BMN Matrix Model
• 1/2 BPS Geometries of M2 Giant Gravitons
• On integrable models from pp-wave string backgrounds
• Semi-classical Probe Strings on Giant Gravitons Backgrounds
• Spacetime Quotients, Penrose Limits and Conformal Symmetry Restoration
• A study of semi-inclusive charmless $B\to \pi X$ decays

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• On Type IIA Penrose Limit and N=6 Chern-Simons Theories
• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
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• The gravity duals of N=2 superconformal field theories
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• 1/2-BPS states in M theory and defects in the dual CFTs
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• Mass-Deformed Bagger-Lambert Theory and its BPS Objects
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• Counting BPS operators in N=4 SYM
• N=4 Super Yang-Mills from the Plane Wave Matrix Model
• Scattering in Mass-Deformed N>=4 Chern-Simons Models
• Holographic Aspects of Four Dimensional $\mathcal{N}=2$ SCFTs and their Marginal Deformations
• Bubbling Surface Operators And S-Duality
• Deconfinement phase transition in N=4 super Yang-Mills theory on RxS^3 from supersymmetric matrix quantum mechanics
• To gauge or not to gauge?
• Embedding of theories with SU(2|4) symmetry into the plane wave matrix model
• Janus field theories from multiple M2 branes
• Half-BPS supergravity solutions and superalgebras
• Thermodynamics of the BMN matrix model at strong coupling
• Nonrelativistic Superconformal M2-Brane Theory
• Kac-Moody Extensions of 3-Algebras and M2-branes
• Holographic Gauge Theories in Background Fields and Surface Operators
• The Hamiltonian Approach to Yang-Mills (2+1): An Expansion Scheme and Corrections to String Tension
• Testing a novel large-N reduction for N=4 super Yang-Mills theory on RxS^3
• Strings ending on branes from supergravity
• First Results from Lattice Simulation of the PWMM
• On Half-BPS States of the ABJM Theory
• Non-Abelian Vortices at Weak and Strong Coupling in Mass Deformed ABJM Theory
• Fiber Bundles and Matrix Models
• Extended Fermion Representation of Multi-Charge 1/2-BPS Operators in AdS/CFT -- Towards Field Theory of D-Branes --
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• Little String Theory from a Double-Scaled Matrix Model
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• Exact results for perturbative partition functions of theories with SU(2|4) symmetry
• Holography of BPS surface operators
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• Large N reduction on group manifolds
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• T-duality, Fiber Bundles and Matrices
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• Non-Supersymmetric Deformations of Non-Critical Superstrings
• A note on co-dimension 2 defects in N=4,d=7 gauged supergravity
• Instantons, supersymmetric vacua, and emergent geometries
• Emergent Geometry from Quantized Spacetime
• Supersymmetry and Mass Gap in 2+1 Dimensions: A Gauge Invariant Hamiltonian Analysis
• N=4 Supersymmetric Yang-Mills on S^3 in Plane Wave Matrix Model at Finite Temperature
• Explicit Non-Abelian Monopoles and Instantons in SU(N) Pure Yang-Mills Theory
• Magnon like solutions for strings in I-brane background
• A Topologically Massive Gauge Theory with 32 Supercharges
• Dynamical tachyons on fuzzy spheres
• Rotating D0-branes and consistent truncations of supergravity
• Dynamics of D1-brane in I-brane Background
• Quantization of Emergent Gravity
• Surface operators in the Klebanov-Witten theory
• The Panorama of Spin Matrix Theory
• Thermodynamics of theories with sixteen supercharges in non-trivial vacua
• The Hamiltonian Analysis for Yang-Mills Theory on $R\times S^2$
• Janus on the Brane
• Breaking supersymmetry with pure spinors
• Comments on I1-branes
• Note about Static D1-brane in I-brane Background
• Asymptotic counting of BPS operators in superconformal field theories
• General Lin-Maldacena solutions and PWMM Instantons from supergravity
• Little String Theory from Double-Scaling Limits of Field Theories
• AdS/CFT and large-N volume independence
• Bounces/Dyons in the Plane Wave Matrix Model and SU(N) Yang-Mills Theory
• Dynamics of Probe Brane in the Background of Intersecting Fivebranes
• Holography of D-Brane Reconnection
• SU(2|2) for Theories with Sixteen Supercharges at Weak and Strong Coupling
• Mink${}_3\times S^3$ solutions of type II supergravity
• Stable Non-Supersymmetric Vacua in the Moduli Space of Non-Critical Superstrings
• Coarse-Graining the Lin-Maldacena Geometries
• Holographic entanglement entropy of surface defects
• A non-perturbative formulation of N=4 super Yang-Mills theory based on the large-N reduction
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• Half-BPS Geometries and Thermodynamics of Free Fermions
• Emergent Area Laws from Entangled Matrices
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• Note on I-brane Near Horizon PP-wave Background
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• On the existence of supergravity duals to D1--D5 CFT states
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• Matrix Theory for the DLCQ of Type IIB String Theory on the AdS/Plane-wave
• Integrability and non-integrability for holographic dual of Matrix model and non-Abelian T-dual of AdS${}_5\times$S${}^5$
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• Quantum corrections of (fuzzy) spacetimes from a supersymmetric reduced model with Filippov 3-algebra
• Mass Deformations of Super Yang-Mills Theories in D= 2+1, and Super-Membranes: A Note
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• Supermembrane actions for Gaiotto-Maldacena backgrounds
• Matrix models and non-Abelian T dual of $Ad{S}_5\times S^5$
• Infinite Linear Quivers and Continuous Rank Functions
• Witten index of BMN matrix quantum mechanics
• Finite-temperature phase diagram of the BMN matrix model on the lattice
• Mass-Deformed BLG Theory in Light-Cone Superspace
• Holographic derivation of a class of short range correlation functions
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• A Charge Constraint in BMN