arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1012.4471hep-th
收藏

关于AdS_5xS^5弦在大λ下的谱

On the Spectrum of the AdS_5xS^5 String at large lambda

Filippo Passerini, Jan Plefka, Gordon W. Semenoff, Donovan Young

摘要:

我们提出了一个在大曲率半径R(即平空间)极限和光锥规范下对AdS_5 × S^5上IIB超弦玻色扇区进行微扰量子化的方案。以AdS_5xS^5上的大质量粒子的量子化作为指导练习,我们读出了大半径极限下粒子坐标的正确标度。在弦的相应大\sqrt λ=R^2/α'极限中,振荡器模式必须与零模式不同地缩放。我们计算玻色弦哈密顿量在这个极限,它给出了平空间质量平方算子在领先的顺序,其次是一个谐振子潜在的零模式在subleading顺序。利用这些成分,我们计算了大λ极限下四长Konishi态共形维数的首项和次首项.此外,我们工作的相关条款的能量扩展到下一个到下一个到领先的顺序,这是困扰着严重的排序模糊性。这使我们无法确定对λ^{-1/4}阶光谱的修正。

英文摘要:

We put forth a program for perturbatively quantizing the bosonic sector of the IIB superstring on AdS_5xS^5 in the large radius of curvature R (i.e. flat-space) limit, and in light-cone gauge. Using the quantization of the massive particle on AdS_5xS^5 as a guiding exercise, we read off the correct scaling of the particle coordinates in the large radius limit. In the corresponding large \sqrtλ=R^2/α' limit of the string the oscillator modes must be scaled differently from the zero modes. We compute the bosonic string Hamiltonian in this limit which gives the flat-space mass-squared operator at leading order, followed by a harmonic oscillator potential in the zero modes at subleading order. Using these ingredients we calculate the leading and sub-leading terms in the conformal dimension of the length-four Konishi state in the large-λlimit. Furthermore we work out the relevant terms of the energy expansion to next-to-next-to leading order, which are plagued by severe ordering ambiguities. This prevents us from determining the corrections to the spectrum at order λ^{-1/4}.

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。

↑