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.
Keywords
Cite
@article{arxiv.hep-th/0202025,
title = {Non-Commutative Instantons and the Information Metric},
author = {Shahrokh Parvizi},
journal= {arXiv preprint arXiv:hep-th/0202025},
year = {2009}
}
Comments
latex. v2) 14 pages, keywords and references added, to appear in MPLA