New Perspectives on Yang-Mills Theories With Sixteen Supersymmetries

Abstract

We describe various approaches that give matrix descriptions of compactified NS five-branes. As a result, we obtain matrix models for Yang-Mills theories with sixteen supersymmetries in dimensions $2,3,4$ and 5. The equivalence of the various approaches relates the Coulomb branch of certain gauge theories to the moduli space of instantons on $T^4$. We also obtain an equivalence between certain six-dimensional string theories. Further, we discuss how various perturbative and non-perturbative features of these Yang-Mills theories appear in their matrix formulations. The matrix model for four-dimensional Yang-Mills is manifestly S-dual. In this case, we describe how electric fluxes, magnetic fluxes and the interaction between vector particles are realized in the matrix model.

44 pages, harvmac; references added

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Cited by in corpus (63)

• Large N Field Theories, String Theory and Gravity
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• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
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• Branes in AdS and pp-wave spacetimes
• Four-Dimensional Superconformal Theories with Interacting Boundaries or Defects
• Deconstructing (2,0) and Little String Theories
• On Theories With Light-Like Noncommutativity
• Phases of Quantum Gravity in AdS3 and Linear Dilaton Backgrounds
• LSZ in LST
• Intersecting D3-branes and Holography
• 1/2-BPS states in M theory and defects in the dual CFTs
• Generalizations of the AdS/CFT correspondence
• On S-duality of 5d super Yang-Mills on S^1
• D_n Quivers From Branes
• Holographic mesons in various dimensions
• Multiple Membranes in M-theory
• Strings from Quivers, Membranes from Moose
• Note on the Quantum Mechanics of M Theory
• Deconstruction of the Maldacena-Nunez Compactification
• Holographic Interface-Particle Potential
• Expectation values of chiral primary operators in holographic interface CFT
• Deconstructing (2,0) Proposals
• Non-local Field Theories and the Non-commutative Torus
• Spherical Deconstruction
• Solution of N=2 Gauge Theories via Compactification to Three Dimensions
• S-Duality, Deconstruction and Confinement for a Marginal Deformation of N=4 SUSY Yang-Mills
• The moduli space of two U(1) instantons on noncommutative $R^4$ and $R^3\times S^1$
• A New Deconstruction of Little String Theory
• (De)constructing Intersecting M5-branes
• Deconstructing Noncommutativity with a Giant Fuzzy Moose
• On the Twisted (2,0) and Little-String Theories
• Black Holes and Five-brane Thermodynamics
• Brane Gas Cosmology, M-theory and Little String Theory
• Background geometry of DLCQ M theory on a p-torus and holography
• AdS Branes Corresponding to Superconformal Defects
• Compactified Little String Theories and Compact Moduli Spaces of Vacua
• Matrix Description of Intersecting M5 Branes
• A World-Volume Perspective on the Recombination of Intersecting Branes
• Black Probes of Schrödinger Spacetimes
• Constructions of Non Commutative Instantons on $T^4$ and $K_3$
• Chiral Rings of Deconstructive [SU(n_c)]^N Quivers
• Instantons and scattering in N=4 SYM in 4D
• Seiberg-Witten Description of the Deconstructed 6D (0,2) Theory
• The (2,0) Superalgebra, Null M-branes and Hitchin's System
• Selfduality and Chern-Simons Theory
• Conformal Quantum Mechanics, Holomorphic Factorisation, and Ultra-Spinning Black Holes
• On The M(atrix)-Model For M-Theory On $T^6$
• Intersecting Branes, Defect Conformal Field Theories and Tensionless Strings
• Weyl Anomaly and Vacuum Magnetization Current of M5-brane in Background Flux
• Boundary String Current & Weyl Anomaly in Six-dimensional Conformal Field Theory
• Towards the deconstruction of M-theory
• Quiver Mechanics for Deconstructed Matrix String
• Supersymmetry and Strongly Coupled Gauge Theories
• Instantons, Integrability and Discrete Light-Cone Quantisation
• Finite Temperature Aging Holography
• Quiver Matrix Mechanics for IIB String Theory (II): Generic Dual Tori, Fractional Matrix Membrane and $SL(2,\integer)$ Duality
• Towards Deconstruction of the Type D (2,0) Theory
• Black holes and thermodynamics of non-gravitational theories
• 't Hooft Operators on an Interface and Bubbling D5-Branes
• Superconformal Quantum Mechanics and the Discrete Light-Cone Quantisation of N=4 SUSY Yang-Mills
• String Duality and Novel Theories without Gravity