Testing the AdS/CFT correspondence beyond large N
Testing the AdS/CFT correspondence beyond large N
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测试大 N 之外的 AdS/CFT 对应关系
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
C. Chu
中科院分区：
文献类型：
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作者：
A. Bilal;C. Chu
根据AdS/CFT对应，四维空间中的极大超对称SU（N）杨-米尔斯理论与AdS_5 × S^5上紧化的IIB型弦理论是对偶的。到目前为止执行的大多数测试都局限于大N或等价的字符串树级别的前导顺序。要探测超出这个首阶的对应关系并获得1/N^2的校正是困难的，因为在AdS_5 × S^5背景上进行弦单圈计算通常是不可行的。然而，我们将证明，超YM理论的手征SU（4）_R反常提供了一个理想的测试场，以超越N中的首阶。我们回顾和发展了我们以前的结果，即超YM侧手征异常的1/N^2修正可以由一圈上的超引力/弦有效作用量精确地解释。
According to the AdS/CFT correspondence, the maximally supersymmetric SU(N) Yang-Mills theory in 4 dimensions is dual to the type IIB string theory compactified on AdS_5 x S^5. Most of the tests performed so far are confined to the leading order at large N or equivalently string tree-level. To probe the correspondence beyond this leading order and obtain 1/N^2 corrections is difficult since string one-loop computations on an AdS_5 x S^5 background generally are beyond feasibility. However, we will show that the chiral SU(4)_R anomaly of the super YM theory provides an ideal testing ground to go beyond leading order in N. We review and develop further our previous results that the 1/N^2 corrections to the chiral anomaly on the super YM side can be exactly accounted for by the supergravity/string effective action induced at one loop.