近平坦空间极限与爱因斯坦流形
Near-flat space limit and Einstein manifolds
摘要:
研究了AdS(5)xM(5)上弦的近平坦空间极限,其中M(5)的内部流形具有U(1)xU(1)xU(1)等距的一般度量.在玻色子部分,极限西格玛模型与AdS(5)xS(5)的模型相似,因为在最一般的情况下,全局对称性被降低。当M(5)是一个类似T(1,1),Y(p,q)和L(p,q,r)的Sasaki-Einstein空间,其对偶CFT具有N=1超对称性时,近似平坦的空间极限给出了AdS(5)xS(5)的西格玛模型的相同玻色子扇区。这表明在AdS/CFT中普遍存在可积的子扇区。
英文摘要:
We study the near-flat space limit for strings on AdS(5)xM(5), where the internal manifold M(5) is equipped with a generic metric with U(1)xU(1)xU(1) isometry. In the bosonic sector, the limiting sigma model is similar to the one found for AdS(5)xS(5), as the global symmetries are reduced in the most general case. When M(5) is a Sasaki-Einstein space like T(1,1), Y(p,q) and L(p,q,r), whose dual CFT's have N=1 supersymmetry, the near-flat space limit gives the same bosonic sector of the sigma model found for AdS(5)xS(5). This indicates the generic presence of integrable subsectors in AdS/CFT.
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