Eight-dimensional self-dual spaces
نویسندگان
چکیده
منابع مشابه
Self-dual Metrics and Twenty-eight Bitangents
We prove that there is a one-to-one correspondence between selfdual metrics on 3CP of positive scalar curvature admitting a non-trivial Killing field but not being conformal to LeBrun metrics, and a class of normal quartic surfaces in CP whose equations can be explicitly written down. As a consequence, we show that the moduli space of these self-dual metrics on 3CP is non-empty and diffeomorphi...
متن کاملAmbient Spaces of Dimensional Dual Arcs
A d-dimensional dual arc in PG(n, q) is a higher dimensional analogue of a dual arc in a projective plane. For every prime power q other than 2, the existence of a d-dimensional dual arc (d ≥ 2) in PG(n, q) of a certain size implies n ≤ d(d + 3)/2 (Theorem 1). This is best possible, because of the recent construction of d-dimensional dual arcs in PG(d(d + 3)/2, q) of size ∑d−1 i=0 qi , using th...
متن کاملTwistor spaces, mirror symmetry and self-dual Kähler manifolds
We present the evidence for two conjectures related to the twistor string. The first conjecture states that two super-Calabi Yaus – the supertwistor space and the superambitwistor space – form a mirror pair. The second conjecture is that the B-model on the twistor space can be seen as describing a 4-dimensional gravitational theory, whose partition function should involve a sum over “space-time...
متن کاملGluing Theorems for Complete Anti-self-dual Spaces
1.1. Summary. One of the special features of 4-dimensional differential geometry is the existence of objects with self-dual (SD) or anti-self-dual (ASD) curvature. The objects in question can be connections in an auxiliary bundle over a 4-manifold, leading to the study of instantons in Yang–Mills theory [DK91], or as in this paper, Riemannian metrics or conformal structures. Although such ASD c...
متن کاملA Deformation Theory of Self-Dual Einstein Spaces
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 q...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics Letters B
سال: 1998
ISSN: 0370-2693
DOI: 10.1016/s0370-2693(98)00340-2