Extension of Self-Dual Yang-Mills equations across the 8th dimension
Miscellaneous
·
OSTI ID:7271948
The authors introduce a class of elliptic generalized Einstein equations adapting the Self-Dual and Anti-Self-Dual Yang-Mills equations to oriented Riemannian 8-manifolds (X[sup 8], g[sub ij]) with the virtual dimension of the Moduli space of solutions given by [written equation]. The authors construct on S[sup 8] a 9-dimensional moduli space M(S[sup 8]) [congruent] B[sup 9] of soliton-like solutions given as the translates of the Levi-Civita connection by arbitrary conformal transformations. Existence is shown on any Einstein manifold. Proposed extension to all even dimensions is sketched.
- Research Organization:
- Harvard Univ., Cambridge, MA (United States)
- OSTI ID:
- 7271948
- Resource Relation:
- Other Information: Thesis (Ph.D.)
- Country of Publication:
- United States
- Language:
- English
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OSTI ID:7271948