Non-Commutative Instantons and the Information Metric

Details Non-Commutative Instantons and the Information Metric Non-Commutative Instantons and the Information Metric

2002-02-05

arxiv.org/abs/hep-th/0202025v2

Mod.Phys.Lett. A17 (2002) 341-354

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1142/S0217732302006436

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.

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