Gravitational Instantons from Gauge Theory

Gravitational instantons from gauge theory.

A gauge theory can be formulated on a noncommutative (NC) spacetime. This NC gauge theory has anequivalent 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 asymptotically locally Euclidean (ALE) gravitational instantons by the exact SW map and...

AdS3 Gravitational Instantons from Conformal Field Theory

A conformal field theory on the boundary of three-dimensional asymptotic anti-de Sitter spaces which appear as near horizon geometry of D-brane bound states is discussed. It is shown that partition functions of gravitational instantons appear as high and low temperature limits of the partition function of the conformal field theory. The result reproduces phase transition between the anti-de Sit...

Gravitational Instantons from Minimal Surfaces

Physical properties of gravitational instantons which are derivable from minimal surfaces in 3-dimensional Euclidean space are examined using the Newman-Penrose formalism for Euclidean signature. The gravitational instanton that corresponds to the helicoid minimal surface is investigated in detail. This is a metric of Bianchi Type V II0, or E(2) which admits a hidden symmetry due to the existen...

Gravitational Instantons Derived from Minimal Surfaces

The interest in instantons originates from the discovery of finite-action solutions of the classical Yang-Mills equations, instantons [1]-[3], which are localized in imaginary time. They provide the dominant contribution to the path-integral in the quantization of the Yang-Mills fields. The expectation that their gravitational counterparts should play a similar role in the path-integral approac...

Gravitational Instantons from Rational Elliptic Surfaces