Dualities of the Matrix Model from T-Duality of the Type II String

Abstract

We investigate in the Matrix theory framework, the subgroup of dualities of the DLCQ of M-theory compactified on three-tori, which corresponds to T-duality in the auxiliary Type II string theory. We show how these dualities are realized in the supersymmetric Yang-Mills gauge theories on dual noncommutative three-tori.

37 pages, LaTeX, no figures, typos corrected

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Cited by in corpus (55)

• Quantum Field Theory on Noncommutative Spaces
• Introduction to M(atrix) theory and noncommutative geometry
• Introduction to M(atrix) theory and noncommutative geometry, Part II
• Double Field Theory of Type II Strings
• Dipoles, Twists and Noncommutative Gauge Theory
• Quantum Mechanics on the Noncommutative Torus
• Noncommutative D=4 gravity coupled to fermions
• Morita equivalence and T-duality (or B versus $\Theta$)
• Gauge Bundles and Born-Infeld on the Noncommutative Torus
• Quantum mechanics on noncommutative Riemann surfaces
• Noncommutative D-Brane in Non-Constant NS-NS B Field Background
• Matrix theory origins of non-geometric fluxes
• Tachyon Condensation on Noncommutative Torus
• BPS states on noncommutative tori and duality
• The CP(n) Model on Noncommutative Plane
• Lorentzian Lie (3-)algebra and toroidal compactification of M/string theory
• T-Duality and Ramond-Ramond Backgrounds in the Matrix Model
• Morita Duality and Large-N Limits
• Aspects of Gauge Theory on Commutative and Noncommutative Tori
• Semi-Flatland
• A Note on the BPS Spectrum of the Matrix Model
• Moduli spaces of maximally supersymmetric solutions on noncommutative tori and noncommutative orbifolds
• Compactification of M(atrix) theory on noncommutative toroidal orbifolds
• Non-Commutative Geometry from Strings
• Regularization of Non-commutative SYM by Orbifolds with Discrete Torsion and SL(2,Z) Duality
• 1/4-BPS states on noncommutative tori
• CP^n Model on Fuzzy Sphere
• Constructions of Non Commutative Instantons on $T^4$ and $K_3$
• Twisted Bundles on Noncommutative $T^4$ and D-brane Bound States
• Noncommutative K3 Surfaces
• Matrix theory compactifications on twisted tori
• Spin(p+1,p+1) Covariant Dp-brane Bound States
• Duality Rotations and BPS Monopoles with Space and Time Noncommutativity
• Duality Twisted Reductions of Double Field Theory of Type II Strings
• Topological T-Duality for Twisted Tori
• Homological mirror symmetry on noncommutative two-tori
• Kronecker foliation, D1-branes and Morita equivalence of Noncommutative two-tori
• Dual Non-Lorentzian Backgrounds for Matrix Theories
• Theta functions on Noncommutative T^4
• Phase space quantization, noncommutativity and the gravitational field
• Matrix Theory Compactification on Noncommutative $T^4/Z_2$
• Poisson Chern-Simons Gauge Theory
• N-Point Deformation of Algebraic K3 Surfaces
• Chaos, decoherence and emergent extradimensions in D-brane dynamics with fluctuations
• Matrix Compactification On Orientifolds
• D-Brane Actions in Non-Relativistic String Theory and T-Duality
• Bogomolny equations for vortices in the noncommutative torus
• Noncommutative fermions and Morita equivalence
• Non-commutative Weitzenboeck geometry, gerbe modules, and WZW branes
• Strings, Dipoles and Fuzzy Spheres
• Ramond-Ramond Field Transformation
• Remark About T-duality of Dp-Branes
• T-Duality Group for Open String Theory
• Non commutative geometry for outsiders; an elementary introduction to motivations and tools
• Morita Equivalence and Interpolation of The Dirac-Born-infeld Theory on the Non-Commutative Torus