N=4 SYM on R x S^3 and Theories with 16 Supercharges

Abstract

We study N=4 SYM on R x S^3 and theories with 16 supercharges arising as its consistent truncations. These theories include the plane wave matrix model, N=4 SYM on R x S^2 and N=4 SYM on R x S^3/Z_k, and their gravity duals were studied by Lin and Maldacena. We make a harmonic expansion of the original N=4 SYM on R x S^3 and obtain each of the truncated theories by keeping a part of the Kaluza-Klein modes. This enables us to analyze all the theories in a unified way. We explicitly construct some nontrivial vacua of N=4 SYM on R x S^2. We perform 1-loop analysis of the original and truncated theories. In particular, we examine states regarded as the integrable SO(6) spin chain and a time-dependent BPS solution, which is considered to correspond to the AdS giant graviton in the original theory.

arXiv comment68 pages, 12 figures, v2,v3:typos corrected and comments added. To appear in JHEP

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Cited by in corpus (38)

• Anatomy of bubbling solutions
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• Embedding of theories with SU(2|4) symmetry into the plane wave matrix model
• Testing a novel large-N reduction for N=4 super Yang-Mills theory on RxS^3
• Chern-Simons theory on L(p,q) lens spaces and Localization
• First Results from Lattice Simulation of the PWMM
• Fiber Bundles and Matrix Models
• Phase Transitions of Large N Orbifold Gauge Theories
• Decoupling limits of N=4 super Yang-Mills on R x S^3
• Localization of N=4 Superconformal Field Theory on S^1 x S^3 and Index
• Correlation functions and representation bases in free N=4 Super Yang-Mills
• Direct test of the AdS/CFT correspondence by Monte Carlo studies of N=4 super Yang-Mills theory
• T-duality, Fiber Bundles and Matrices
• Emergent bubbling geometries in the plane wave matrix model
• Instantons, supersymmetric vacua, and emergent geometries
• Nonrelativistic near-BPS corners of $\mathcal{N}=4$ super-Yang-Mills with $SU(1,1)$ symmetry
• Nonrelativistic Corners of $\mathcal{N}=4$ Supersymmetric Yang--Mills Theory
• $SO(4)$ Landau Models and Matrix Geometry
• The Panorama of Spin Matrix Theory
• Four-dimensional black hole entropy from F-theory
• Spin Matrix Theory in near $\frac{1}{8}$-BPS corners of $\mathcal{N}=4$ super-Yang-Mills
• Thermodynamics of theories with sixteen supercharges in non-trivial vacua
• Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra
• Little String Theory from Double-Scaling Limits of Field Theories
• The 2-loop partition function of large N gauge theories with adjoint matter on S^3
• General Lin-Maldacena solutions and PWMM Instantons from supergravity
• SU(2|2) for Theories with Sixteen Supercharges at Weak and Strong Coupling
• Coarse-Graining the Lin-Maldacena Geometries
• A non-perturbative formulation of N=4 super Yang-Mills theory based on the large-N reduction
• Higher spins from Nambu-Chern-Simons theory
• More on BPS States in N=4 Supersymmetric Yang-Mills Theory on R x S3
• A Supersymmetry Preserving Mass-Deformation of N=1 Super Yang-Mills in D=2+1
• Matrix Reduction and the su(2|2) superalgebra in AdS/CFT
• Symmetry structure of the interactions in near-BPS corners of $\mathcal{N}=4$ super-Yang-Mills
• Matrix models from localization of five-dimensional supersymmetric noncommutative U(1) gauge theory
• On the existence of the NS5-brane limit of the plane wave matrix model