On noncommutative Nahm transform

Abstract

Motivated by the recently observed relation between the physics of $D$-branes in the background of $B$-field and the noncommutative geometry we study the analogue of Nahm transform for the instantons on the noncommutative torus.

Latex, 22 pp

References in corpus (1)

• Twisted Bundle On Quantum Torus and BPS States in Matrix Theory

Cited by in corpus (23)

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• Introduction to M(atrix) theory and noncommutative geometry
• Introduction to M(atrix) theory and noncommutative geometry, Part II
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• Noncommutative 't Hooft Instantons
• Noncommutative Solitons and D-branes
• A survey on Nahm transform
• ADHM/Nahm Construction of Localized Solitons in Noncommutative Gauge Theories
• Supersymmetry Breaking as a new source for the Generalized Uncertainty Principle
• Morita Duality and Large-N Limits
• D1D5 System and Noncommutative Geometry
• Nahm gauge fields for the torus
• Constructions of Non Commutative Instantons on $T^4$ and $K_3$
• Gauge Fields on Tori and T-duality
• Seiberg-Witten Geometry of Four-Dimensional $\mathcal{N}=2$ Quiver Gauge Theories
• Black Holes Thermodynamics in a new kind of Noncommutative Geometry
• Unstable solitons on noncommutative tori and D-branes
• Twisted K-theory in $g>1$ from D-branes
• Noncommutative Geometry and Twisted Little-String Theories
• Large N orbifold field theories on the twisted torus
• Instantons on a Non-commutative $T^4$ from Twisted (2,0) and Little-String Theories
• New M(atrix)-models for Commutative and Noncommutative Gauge Theories
• Noncommutative tori, Yang-Mills and string theory