A Ricci-flat metric on D-brane orbifolds
نویسندگان
چکیده
منابع مشابه
A Ricci-flat metric on D-brane orbifolds
We study issues pertaining to the Ricci-flatness of metrics on orbifolds resolved by Dbranes. We find a Kähler metric on the three-dimensional orbifold C/Z3, resolved by D-branes, following an approach due to Guillemin. This metric is not Ricci-flat for any finite value of the blow-up parameter. Conditions for the envisaged Ricci-flat metric for finite values of the blow-up parameter are formul...
متن کاملMetrics on D-brane Orbifolds
We calculate the metric on the D-brane vacuum moduli space for backgrounds of the form C 3 /Γ for cyclic groups Γ. In the simplest procedure — starting with a flat " seed " metric on the covering space — we find that the resulting D-brane metric is not Ricci-flat. We argue that this is likely to be true of the true 0-brane metric at weak string coupling.
متن کاملRicci flow on Orbifolds
In this paper, we study the behavior of Ricci flows on compact orbifolds with finite singularities. We show that Perelman’s pseudolocality theorem also holds on orbifold Ricci flow. Using this property, we obtain a weak compactness theorem of Ricci flows on orbifolds under some natural technical conditions. This generalizes the corresponding theorem on manifolds. As an application, we can use K...
متن کاملOn Ricci flat supermanifolds
We study the Ricci flatness condition on generic supermanifolds. It has been found recently that when the fermionic complex dimension of the supermanifold is one the vanishing of the super-Ricci curvature implies the bosonic submanifold has vanishing scalar curvature. We prove that this phenomena is only restricted to fermionic complex dimension one. Further we conjecture that for complex fermi...
متن کاملElectric S-brane Solutions with a Parallel Charge Density Form on a Ricci-flat Factor Space
We generalize the previously studied cosmological solutions in D -dimensional gravity with an antisymmetric (p+2)form to the case when the spatial part of the metric is Ricci-flat rather than flat. These generalized solutions are characterized by a parallel self-dual or anti-self-dual charge density form Q of rank 2m and satisfy the condition Q > 0. As with the previous flat-space case, these e...
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)00722-9