Noncommutative Moduli for Multi-Instantons

Abstract

There exists a recursive algorithm for constructing BPST-type multi-instantons on commutative R^4. When deformed noncommutatively, however, it becomes difficult to write down non-singular instanton configurations with topological charge greater than one in explicit form. We circumvent this difficulty by allowing for the translational instanton moduli to become noncommutative as well. This makes possible the ADHM construction of 't Hooft multi-instanton solutions with everywhere self-dual field strengths on noncommutative R^4.

arXiv comment1+9 pages; v2: reference added, published version

References in corpus (11)

• Instantons on noncommutative R^4, and (2,0) superconformal six dimensional theory
• Trieste lectures on solitons in noncommutative gauge theories
• Exact Noncommutative KP and KdV Multi-solitons
• Noncommutative Solitons and D-branes
• Notes on Noncommutative Instantons
• Some properties of the integrable noncommutative sine-Gordon system
• Comments on Noncommutative ADHM Construction
• Towards Noncommutative Integrable Equations
• Noncommutative Instantons and Solitons
• Transmogrifying Fuzzy Vortices
• A monopole solution from noncommutative multi-instantons

Cited by in corpus (11)

• Rank Two Quiver Gauge Theory, Graded Connections and Noncommutative Vortices
• Lamb shift and Stark effect in simultaneous space-space and momentum-momentum noncommutative quantum mechanics and $\theta$-deformed $su(2)$ algebra
• D0-D4 brane tachyon condensation to a BPS state and its excitation spectrum in noncommutative super Yang-Mills theory
• Construction of Noncommutative Instantons in 4k Dimensions
• Noncommutative Instantons in 4k Dimensions
• Noncommutative Instantons on CP^n
• q-Quaternions and q-deformed su(2) instantons
• q-Deformed su(2) instantons by q-quaternions
• q-Deformed quaternions and su(2) instantons
• On the ADHM construction of noncommutative U(2) k-instanton
• q-Quaternions and deformed su(2) instantons on the quantum Euclidean space R_q^4