Gauge bundles and Born-Infeld on the non-commutative torus

DOI10.1016/S0550-3213(99)00062-0zbMath0943.81047arXivhep-th/9810219OpenAlexW2016177593MaRDI QIDQ1572074

Christiaan Hofman, Erik P. Verlinde

Publication date: 12 July 2000

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9810219

zbMATH Keywords

Morita equivalencenon-commutative torinon-abelian gauge bundles

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Noncommutative geometry methods in quantum field theory (81T75) Noncommutative geometry (à la Connes) (58B34)

Related Items (18)

Noncommutative fermions and Morita equivalence ⋮ DISSIPATIVE QUANTUM MECHANICS AND KONDO-LIKE IMPURITIES ON NONCOMMUTATIVE TWO-TORI ⋮ N -point deformation of algebraic K3 surfaces ⋮ Nahm gauge fields for the torus ⋮ The BRS invariance of noncommutative \(U(N)\) Yang-Mills theory at the one-loop level ⋮ Noncommutative super Yang-Mills theories with 8 supercharges and brane configurations. ⋮ Constructions of noncommutative instantons on \(\mathbb{T}^4\) and \(K_3\) ⋮ Compactification of M(atrix) theory on noncommutative toroidal orbifolds. ⋮ Supersymmetry algebra and BPS states of super Yang-Mills theories on noncommutative tori. ⋮ The Matrix model and the noncommutative geometry of the supermembrane ⋮ Matrix theory compactification on noncommutative T4/Z2 ⋮ Ramond-Ramond couplings of noncommutative D-branes ⋮ Morita duality and large-\(N\) limits ⋮ Introduction to M(atrix) theory and noncommutative geometry ⋮ BPS states on non-commutative tori and duality ⋮ An operator approach to string equations ⋮ Noncommutative K3 surfaces ⋮ D-branes, symplectomorphisms and noncommutative gauge theories

Cites Work

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• Branes, fluxes and duality in M(atrix)-theory
• Noncommutative geometry from \(0\)-branes in a background \(B\)-field
• Morita equivalence and duality.
• Dualities of the Matrix model from \(T\)-duality of the type II string
• U-duality of Born-Infeld on the noncommutative two-torus
• \(U\)-duality invariance of the four-dimensional Born-Infeld theory
• D-branes and the noncommutative torus
• Noncommutative geometry from strings and branes
• A note on the BPS spectrum of the Matrix model
• Projective Modules over Higher-Dimensional Non-Commutative Tori
• MORITA EQUIVALENCE OF MULTIDIMENSIONAL NONCOMMUTATIVE TORI

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