Noncommutative Solitons on Orbifolds

Abstract

In the noncommutative field theory of open strings in a B-field, D-branes arise as solitons described as projection operators or partial isometries in a $C^{\ast }$ algebra. We discuss how D-branes on orbifolds fit naturally into this algebraic framework, through the examples of $R^n/G$, $T^n=R^n/Z^n$, and $T^n/G$. We also propose a framework for formulating D-branes on asymmetric orbifolds.

42 pages (harvmac), 1 eps figure; v2: references added, typos corrected

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Cited by in corpus (24)

• Noncommutative Field Theory
• Racetrack Inflation
• Introduction to M(atrix) theory and noncommutative geometry
• Introduction to M(atrix) theory and noncommutative geometry, Part II
• D-branes and K-theory in 2D topological field theory
• Some Comments on Branes, G-flux, and K-theory
• Noncommutative Solitons: Moduli Spaces, Quantization, Finite Theta Effects and Stability
• Exact solitons on noncommutative tori
• Holomorphic Tachyons and Fractional D-branes
• Noncommutative solitons on Kahler manifolds
• N=2 gauge theories, instanton moduli spaces and geometric representation theory
• Reverse Engineering ADHM Construction from Non-Commutative Instantons
• Theta functions on Noncommutative T^4
• Soliton on Noncommutative Orbifold $T^2/Z_k$
• Elliptic Algebra and Integrable Models for Solitons on Noncummutative Torus $\mathcal{T}$
• Soliton Solutions on Noncommutative Orbifold $ T^2/Z_4
• Unstable solitons on noncommutative tori and D-branes
• Quantum Mechanics With Noncommutative Amplitudes
• Towards The Moduli Space of Extended Partial Isometries
• NC Calabi-Yau Orbifolds in Toric Varieties with Discrete Torsion
• A Remark On Field Theories On The Non-Commutative Torus
• Symmetry of Quantum Torus with Crossed Product Algebra
• D-Branes in Noncommutative Field Theory
• Instantons, Fluxons and Open Gauge String Theory