Quantizing string theory in AdS5×S5: beyond the pp-wave
Quantizing string theory in AdS5×S5: beyond the pp-wave
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AdS5×S5 中的量化弦理论：超越 pp 波
DOI：
10.1016/j.nuclphysb.2003.09.008
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
Xinkai Wu
中科院分区：
文献类型：
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作者：
C. Callan;Jr.;Hok Kong Lee;Tristan McLoughlin;J. Schwarz;Ian Swanson;Xinkai Wu
在一定的运动学极限下，时空曲率（和其他背景场）的影响大大简化，AdS 5 × S5上IIB超弦的光锥规范世界片作用量退化为自由场理论的作用量。Berenstein、Maldacena和Nastase推测，该弦理论的能谱与四维N =4超对称杨米尔斯理论中适当定义的大R电荷大Nc扇区中的算符维度相匹配。这种全息等价被认为是精确的，独立于任何简化的运动学限制。作为验证这个更大猜想的一步，我们计算了光锥规范弦理论谱的一阶曲率修正的完整集合，它是在AdS 5 × S5关于平面波极限的展开中产生的。由此得到的谱完全依赖于λ= gYM 2Nc;规范理论中相应的结果只在λ的二阶上已知。我们发现精确的协议，这个顺序，包括N =4扩展超多重态结构。在这个过程中，我们证明了近年来提出的复杂计划，定义背景Ramond-Ramond领域的Green-Schwarz超弦作用可以减少到一个实用的（和正确的）方法来量化字符串。
In a certain kinematic limit, where the effects of spacetime curvature (and other background fields) greatly simplify, the light-cone gauge worldsheet action for a type IIB superstring on AdS5×S5reduces to that of a free field theory. It has been conjectured by Berenstein, Maldacena, and Nastase that the energy spectrum of this string theory matches the dimensions of operators in the appropriately defined large R-charge large-Ncsector of N =4 supersymmetric Yang–Mills theory in four dimensions. This holographic equivalence is thought to be exact, independent of any simplifying kinematic limits. As a step toward verifying this larger conjecture, we have computed the complete set of first curvature corrections to the spectrum of light-cone gauge string theory that arises in the expansion of AdS5×S5about the plane-wave limit. The resulting spectrum has the complete dependence on λ=gYM2Nc; corresponding results in the gauge theory are known only to second order in λ. We find precise agreement to this order, including the N =4 extended supermultiplet structure. In the process, we demonstrate that the complicated schemes put forward in recent years for defining the Green–Schwarz superstring action in background Ramond–Ramond fields can be reduced to a practical (and correct) method for quantizing the string.