Non-Commutative Instantons and the Information Metric

Abstract

By using the so-called Information Metric on the moduli space of an anti-selfdual (ASD) Instanton in a Self-Dual (SD) Non-Commutative background, we investigate the geometry of moduli space. The metric is evaluated perturbatively in non-commutativity parameter and we show that by putting a cut-off in the location of instanton in the definition of Information Metric we can recover the five dimensional space time in the presence of a B-field. This result shows that the non-commutative YM-Instanton Moduli corresponds to D-Instanton Moduli in the gravity side where the radial and transverse location of D-Instanton are corresponding to YM-Instanton size and location, respectively. The match is shown in the first order of non-commutativity parameter.

latex. v2) 14 pages, keywords and references added, to appear in MPLA

References in corpus (1)

• Instanton Number Calculus on Noncommutative R^4

Cited by in corpus (13)

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• Non-linear Laplace equation, de Sitter vacua and information geometry
• Noncommutative QCD, first-order-in-theta-deformed instantons and 't Hooft vertices
• The Information Metric on the moduli space of instantons with global symmetries
• Noncommutative Deformation of Instantons
• A monopole solution from noncommutative multi-instantons
• Noncommutative Deformation of Spinor Zero Mode and ADHM Construction
• Hermitian-Einstein metrics from noncommutative $U\left(1\right)$ instantons