Gravitational Instantons from Gauge Theory
High Energy Physics - Theory
2007-05-23 v3 General Relativity and Quantum Cosmology
Abstract
A gauge theory can be formulated on a noncommutative (NC) spacetime. This NC gauge theory has an equivalent dual description through the so-called Seiberg-Witten (SW) map in terms of an ordinary gauge theory on a commutative spacetime. We show that all NC U(1) instantons of Nekrasov-Schwarz type are mapped to ALE gravitational instantons by the exact SW map and that the NC gauge theory of U(1) instantons is equivalent to the theory of hyper-Kaehler geometries. It implies the remarkable consequence that ALE gravitational instantons can emerge from local condensates of purely NC photons.
Keywords
Cite
@article{arxiv.hep-th/0512215,
title = {Gravitational Instantons from Gauge Theory},
author = {Hyun Seok Yang and Mario Salizzoni},
journal= {arXiv preprint arXiv:hep-th/0512215},
year = {2007}
}
Comments
4 pages with two columns; comments and references added, to appear in Phys. Rev. Lett