A New infinite class of Sasaki-Einstein manifolds
A New infinite class of Sasaki-Einstein manifolds
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DOI：
10.4310/atmp.2004.v8.n6.a3
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发表时间：
2004-03
影响因子：
1.5
通讯作者：
J. Gauntlett;D. Martelli;J. Sparks;D. Waldram
中科院分区：
文献类型：
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作者：
J. Gauntlett;D. Martelli;J. Sparks;D. Waldram
证明了对于2n维正曲率Kahler-Einstein流形，在2n+3维Sasaki-Einstein流形X_{2n+3}存在一个可数无限类。当n=1时，我们恢复了最近发现的IIB型弦理论的一族超对称ADS_5xX_5解，而当n=2时，我们得到了D=11超引力的新的超对称ADS_4xX_7解。这两种理论都有望提供新的超重力超共形场理论对偶。
We show that for every positive curvature Kahler-Einstein manifold in dimension 2n there is a countably infinite class of associated Sasaki-Einstein manifolds X_{2n+3} in dimension 2n+3. When n=1 we recover a recently discovered family of supersymmetric AdS_5 x X_5 solutions of type IIB string theory, while when n=2 we obtain new supersymmetric AdS_4 x X_7 solutions of D=11 supergravity. Both are expected to provide new supergravity duals of superconformal field theories.