A Deformation Theory of Self-Dual Einstein Spaces
| dc.creator | Torre, C. G. | |
| dc.date | 1991-09-20 | |
| dc.date.accessioned | 2026-07-07T06:28:52Z | |
| dc.date.available | 2026-07-07T06:28:52Z | |
| dc.description | The self-dual Einstein equations on a compact Riemannian 4-manifold can be expressed as a quadratic condition on the curvature of an $SU(2)$ (spin) connection which is a covariant generalization of the self-dual Yang-Mills equations. Local properties of the moduli space of self-dual Einstein connections are described in the context of an elliptic complex which arises in the linearization of the quadratic equations on the $SU(2)$ curvature. In particular, it is shown that the moduli space is discrete when the cosmological constant is positive; when the cosmological constant is negative the moduli space can be a manifold the dimension of which is controlled by the Atiyah-Singer index theorem. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/9109034 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9109034 | |
| dc.identifier | Contemp.Math. 132 (1991) 611 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97847 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | A Deformation Theory of Self-Dual Einstein Spaces | |
| dc.type | text |