Space-Time Foam From Non-Commutative Instantons

Abstract

We show that a U(1) instanton on non-commutative R^4 corresponds to a supersymmetric non-singular U(1) gauge field on a commutative Kahler manifold X which is a blowup of C^2 at a finite number of points. For instanton charge k the manifold X can be viewed as a space-time foam. A direct connection with integrable systems of Calogero-Moser type is established. We also make some comments on the non-abelian case.

harvmac, 22 pp; v.2, refs added, a section added

References in corpus (8)

• Nonlinear Instantons from Supersymmetric p-Branes
• Quantum Foam and Topological Strings
• Instantons on Noncommutative R^4 and Projection Operators
• Non-Commutative Instantons and the Seiberg-Witten Map
• Noncommutative instantons revisited
• Elongated U(1) Instantons on Noncommutative R^4
• Instantons in the U(1) Born-Infeld Theory and Noncommutative Gauge Theory
• The Freckled Instantons

Cited by in corpus (29)

• Quantum Foam and Topological Strings
• Introduction to M(atrix) theory and noncommutative geometry
• Introduction to M(atrix) theory and noncommutative geometry, Part II
• Noncommutative Instantons and Twistor Transform
• Instantons on Noncommutative R^4 and Projection Operators
• Emergent Gravity from Noncommutative Spacetime
• Exact Seiberg-Witten Map and Induced Gravity from Noncommutativity
• Topological Charge of U(1) Instantons
• Non-Linear Electrodynamics in Curved Backgrounds
• On Exact Noncommutative BPS Solitons
• Equivalence of Projections as Gauge Equivalence on Noncommutative Space
• Double Elliptic Dynamical Systems From Generalized Mukai - Sklyanin Algebras
• Noncommutative Instantons on R^2_{NC} x R^2_C
• Open Dielectric Branes
• Elongated U(1) Instantons on Noncommutative R^4
• Test of Emergent Gravity
• Instanton Number Calculus on Noncommutative R^4
• Topology Change of Spacetime and Resolution of Spacetime Singularity in Emergent Gravity
• Twisted Bundle on Noncommutative Space and U(1) Instanton
• Symmetry Origin of Nonlinear Monopole
• Condensates and instanton - torus knot duality. Hidden Physics at UV scale
• Propagators in Noncommutative Instantons
• Instanton Counting and Dielectric Branes
• Exponential Networks for Linear Partitions
• Light-like (2,0) Noncommutativity and Light-Cone Rigid Open Membrane Theory
• Strong reactions in quantum super PDE's. I-II
• On the ADHM construction of noncommutative U(2) k-instanton
• Comments on the N=1 SU(M+p)xSU(p) quiver gauge theory with flavor
• Hermitian-Einstein metrics from noncommutative $U\left(1\right)$ instantons