Lorentzian Sasaki-Einstein metrics on connected sums of S 2 × S 3
نویسندگان
چکیده
منابع مشابه
Sasaki – Einstein Metrics on S 2 × S 3
We present a countably infinite number of new explicit co-homogeneity one Sasaki–Einstein metrics on S × S, in both the quasi-regular and irregular classes. These give rise to new solutions of type IIB supergravity which are expected to be dual to N = 1 superconformal field theories in four dimensions with compact or non-compact R-symmetry and rational or irrational central charges, respectivel...
متن کاملSasaki – Einstein Metrics on S 2 × S 3 Jerome
We present a countably infinite number of new explicit co-homogeneity one Sasaki–Einstein metrics on S × S, in both the quasi-regular and irregular classes. These give rise to new solutions of type IIB supergravity which are expected to be dual to N = 1 superconformal field theories in four dimensions with compact or non-compact R-symmetry and rational or irrational central charges, respectivel...
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It is still very poorly understood which 5-manifolds carry an Einstein metric with positive constant. By Myers' theorem, the fundamental group of such a manifold is finite, therefore it is reasonable to concentrate on the simply connected case. The most familiar examples are connected sums of k copies of S 2 × S 3. For k ≤ 9, Einstein metrics on these were constructed by Boyer, Galicki and Naka...
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Recently, the authors [BG2] introduced a new method for showing the existence of Sasakian-Einstein metrics on compact simply connected 5-dimensional spin manifolds. This method was based on work of Demailly and Kollár [DK] who gave sufficient algebraic conditions on log del Pezzo surfaces anticanonically embedded in weighted projective spaces to guarantee the existence of a Kähler-Einstein orbi...
متن کاملar X iv : h ep - t h / 05 05 02 7 v 1 3 M ay 2 00 5 Toric Sasaki – Einstein metrics on S 2 × S 3
We show that by taking a certain scaling limit of a Euclideanised form of the Plebanski–Demianski metrics one obtains a family of local toric Kähler–Einstein metrics. These can be used to construct local Sasaki–Einstein metrics in five dimensions, which are generalisations of the Y p,q metrics. In fact, we find that the local metrics are diffeomorphic to those recently found by Cvetic, Lu, Page...
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ژورنال
عنوان ژورنال: Geometriae Dedicata
سال: 2010
ISSN: 0046-5755,1572-9168
DOI: 10.1007/s10711-010-9503-x