arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0807.1527hep-th
收藏

AdS_4 x CP上IIA型弦论的SU（2）x SU（2）扇区中的粒子尺寸修正^[3]

Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3

Davide Astolfi, Valentina Giangreco M. Puletti, Gianluca Grignani, Troels Harmark, Marta Orselli

备注：
21 pages. v2: typos fixed, refs. added. v3: misprints corrected, refs. added
发表信息：
Nucl.Phys.B810:150-173,2009
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

我们考虑AdS_4 x CP ^3上IIA型弦论的SU（2）x SU（2）扇区中的有限尺寸修正，它是最近由Aharony、Bergman、Jafferis和Maldacena构造的N=6超共形Chern-Simons理论（ABJM理论）的弦对偶。我们考虑的弦态位于AdS_4 x CP^3的R x S^2 x S^2子空间中，CP^3上的角动量J很大。我们用两种不同的方法计算有限尺寸修正，一种是考虑对Penrose极限的曲率修正，给出1/J的展开，另一种是考虑弦论σ模型的低能展开，λ = λ/J^2，λ是对偶ABJM理论的t Hooft耦合。对于这两种方法，都有一些有趣的问题需要处理。在近pp波方法中，有1/ \sqrt{J}相互作用项，我们使用zeta函数正则化来计算能量的1/J校正。对于低能量σ模型展开，我们必须考虑到非动力学横向的非平凡耦合。我们发现这两种方法之间的协议。在λ '和λ'^2阶，对于小λ '，我们的结果类似于AdS_5 × S^5上的IIB型弦论中SU（2）扇区的结果。相反，两个双球之间存在着相互作用，它们的数量级为100“^[3]。我们比较我们的研究结果与最近提出的全循环Bethe anastomy的Gromov和维埃拉，并找到协议。

英文摘要：

We consider finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3, which is the string dual of the recently constructed N=6 superconformal Chern-Simons theory of Aharony, Bergman, Jafferis and Maldacena (ABJM theory). The string states we consider are in the R x S^2 x S^2 subspace of AdS_4 x CP^3 with an angular momentum J on CP^3 being large. We compute the finite-size corrections using two different methods, one is to consider curvature corrections to the Penrose limit giving an expansion in 1/J, the other by considering a low energy expansion in lambda'=lambda/J^2 of the string theory sigma-model, lambda being the 't Hooft coupling of the dual ABJM theory. For both methods there are interesting issues to deal with. In the near-pp-wave method there is a 1/\sqrt{J} interaction term for which we use zeta-function regularization in order to compute the 1/J correction to the energy. For the low energy sigma-model expansion we have to take into account a non-trivial coupling to a non-dynamical transverse direction. We find agreement between the two methods. At order lambda' and lambda'^2, for small lambda', our results are analogous to the ones for the SU(2) sector in type IIB string theory on AdS_5 x S^5. Instead at order lambda'^3 there are interactions between the two two-spheres. We compare our results with the recently proposed all-loop Bethe ansatz of Gromov and Vieira and find agreement.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

↑