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arXiv · hep-th/0512215

Gravitational Instantons from Gauge Theory

Hyun Seok Yang·Mario Salizzoni
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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.

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Hyun Seok Yang, Mario Salizzoni. 2006-05-05. Gravitational Instantons from Gauge Theory. https://doi.org/10.1103/physrevlett.96.201602

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