Embedding of theories with SU(2|4) symmetry into the plane wave matrix model

Abstract

We study theories with SU(2|4) symmetry, which include the plane wave matrix model, 2+1 SYM on RxS^2 and N=4 SYM on RxS^3/Z_k. All these theories possess many vacua. From Lin-Maldacena's method which gives the gravity dual of each vacuum, it is predicted that the theory around each vacuum of 2+1 SYM on RxS^2 and N=4 SYM on RxS^3/Z_k is embedded in the plane wave matrix model. We show this directly on the gauge theory side. We clearly reveal relationships among the spherical harmonics on S^3, the monopole harmonics and the harmonics on fuzzy spheres. We extend the compactification (the T-duality) in matrix models a la Taylor to that on spheres.

56 pages, 6 figures, v2:a footnote and references added, section 5.2 improved, typos corrected, v3:typos corrected, v4: some equations are corrected, eq.(G.2) is added, conclusion is unchanged

References in corpus (24)

• Gauge Theory Correlators from Non-Critical String Theory
• M Theory As A Matrix Model: A Conjecture
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• A Large-N Reduced Model as Superstring
• Bubbling AdS space and 1/2 BPS geometries
• Matrix String Theory
• D-brane field theory on compact spaces
• Matrix Perturbation Theory For M-theory On a PP-Wave
• Fivebranes from gauge theory
• Supersymmetry on a Spatial Lattice
• Transverse Fivebranes in Matrix Theory
• Monopoles and Solitons in Fuzzy Physics
• Topologically nontrivial field configurations in noncommutative geometry
• Describing Curved Spaces by Matrices
• Matrix Strings in pp-wave backgrounds from deformed Super Yang-Mills Theory
• The Fuzzy Ginsparg-Wilson Algebra: A Solution of the Fermion Doubling Problem
• Ginsparg-Wilson Relation, Topological Invariants and Finite Noncommutative Geometry
• Ginsparg-Wilson Relation and 't Hooft-Polyakov Monopole on Fuzzy 2-Sphere
• N=4 SYM on R x S^3 and Theories with 16 Supercharges
• Dynamical generation of a nontrivial index on the fuzzy 2-sphere
• Little String Theory from a Double-Scaled Matrix Model
• Massive super Yang-Mills quantum mechanics: classification and the relation to supermembrane
• Conformal Algebra and Physical States in Non-critical 3-brane on R*S^3
• Noncommutative Chiral Anomaly and the Dirac-Ginsparg-Wilson Operator

Cited by in corpus (51)

• N=4 Super Yang-Mills from the Plane Wave Matrix Model
• Multi-matrix models and emergent geometry
• Deconfinement phase transition in N=4 super Yang-Mills theory on RxS^3 from supersymmetric matrix quantum mechanics
• Testing a novel large-N reduction for N=4 super Yang-Mills theory on RxS^3
• First Results from Lattice Simulation of the PWMM
• Fiber Bundles and Matrix Models
• Phase Transitions of Large N Orbifold Gauge Theories
• Exact results for perturbative partition functions of theories with SU(2|4) symmetry
• Ginsparg-Wilson Dirac operator in the monopole backgrounds on the fuzzy 2-sphere
• Direct test of the AdS/CFT correspondence by Monte Carlo studies of N=4 super Yang-Mills theory
• Large-N reduced models of supersymmetric quiver, Chern-Simons gauge theories and ABJM
• T-duality, Fiber Bundles and Matrices
• Large N reduction for Chern-Simons theory on S^3
• Emergent bubbling geometries in the plane wave matrix model
• Emergent gravity from Eguchi-Kawai reduction
• Explicit Non-Abelian Monopoles and Instantons in SU(N) Pure Yang-Mills Theory
• N=4 Supersymmetric Yang-Mills on S^3 in Plane Wave Matrix Model at Finite Temperature
• A Novel Large-N Reduction on S^3: Demonstration in Chern-Simons Theory
• Four-dimensional N=1 super Yang-Mills from matrix model
• Dynamical tachyons on fuzzy spheres
• Emergent bubbling geometries in gauge theories with SU(2|4) symmetry
• $SO(4)$ Landau Models and Matrix Geometry
• Large N reduction on coset spaces
• Thermodynamics of theories with sixteen supercharges in non-trivial vacua
• Kähler structure in the commutative limit of matrix geometry
• Large-N reduction for N=2 quiver Chern-Simons theories on S^3 and localization in matrix models
• Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra
• A Type IIB Matrix Model via non-Abelian T-dualities
• General Lin-Maldacena solutions and PWMM Instantons from supergravity
• Membranes from monopole operators in ABJM theory: large angular momentum and M-theoretic AdS_4/CFT_3
• Little String Theory from Double-Scaling Limits of Field Theories
• Two-Dimensional Gauge Theory and Matrix Model
• Bounces/Dyons in the Plane Wave Matrix Model and SU(N) Yang-Mills Theory
• Finite-matrix formulation of gauge theories on a non-commutative torus with twisted boundary conditions
• Spherical transverse M5-branes from the plane wave matrix model
• Index theorem in spontaneously symmetry-broken gauge theories on a fuzzy 2-sphere
• SU(2|2) for Theories with Sixteen Supercharges at Weak and Strong Coupling
• Coarse-Graining the Lin-Maldacena Geometries
• The matrix regularization for Riemann surfaces with magnetic fluxes
• A non-perturbative formulation of N=4 super Yang-Mills theory based on the large-N reduction
• Closed String Tachyons on AdS Orbifolds and Dual Yang-Mills Instantons
• Effective Actions of IIB Matrix Model on S^3
• Laplacians on Fuzzy Riemann Surfaces
• BPS solutions in ABJM theory and Maximal Super Yang-Mills on RxS^2
• The instability of intersecting fuzzy spheres
• More on BPS States in N=4 Supersymmetric Yang-Mills Theory on R x S3
• Ginsparg-Wilson relation on a fuzzy 2-sphere for adjoint matter
• A Supersymmetry Preserving Mass-Deformation of N=1 Super Yang-Mills in D=2+1
• Diffeomorphisms on Fuzzy Sphere
• A one-loop test for construction of 4D N=4 SYM from 2D SYM via fuzzy sphere geometry
• On the existence of the NS5-brane limit of the plane wave matrix model