In this letter we report on the explicit construction of self-dual connections on Asymptotically Locally Euclidean spaces following the approach of Kronheimer and Nakajima. Restricting ourselves to the simplest case of an SU(2) connection with the lowest Chem class on the Eguchi-Hanson gravitational background, we study the wave operators for scalar, spinor and vector fields in the adjoint representation of the gauge group and verify that the metric on the moduli space coincides with the metric on the base manifold.
Bianchi, M., Fucito, F., Rossi, G., Martellini, M. (1995). On the ADHM construction on ALE gravitational backgrounds. PHYSICS LETTERS. SECTION B, 359(1-2), 49-55 [10.1016/0370-2693(95)01082-2].
On the ADHM construction on ALE gravitational backgrounds
Bianchi M.;Rossi G.;
1995-01-01
Abstract
In this letter we report on the explicit construction of self-dual connections on Asymptotically Locally Euclidean spaces following the approach of Kronheimer and Nakajima. Restricting ourselves to the simplest case of an SU(2) connection with the lowest Chem class on the Eguchi-Hanson gravitational background, we study the wave operators for scalar, spinor and vector fields in the adjoint representation of the gauge group and verify that the metric on the moduli space coincides with the metric on the base manifold.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.