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Dynamics of R-neutral Ramond fields in the D1-D5 SCFT
Journal of High Energy Physics ( IF 5.4 ) Pub Date : 2021-07-27 , DOI: 10.1007/jhep07(2021)211
A. A. Lima 1 , G. M. Sotkov 1 , M. Stanishkov 2
Affiliation  

We describe the effect of the marginal deformation of the \( \mathcal{N} \) = (4, 4) super-conformal (T4)N/SN orbifold theory on a doublet of R-neutral twisted Ramond fields, in the large-N approximation. Our analysis of their dynamics explores the explicit analytic form of the genus-zero four-point function involving two R-neutral Ramond fields and two deformation operators. We compute this correlation function with two different approaches: the Lunin-Mathur path-integral technique and the stress-tensor method. From its short distance limits, we extract the OPE structure constants and the scaling dimensions of non-BPS fields appearing in the fusion. In the deformed CFT, at second order in the deformation parameter, the two-point function of the n-twisted Ramond fields is UV-divergent. We perform an appropriate regularization, together with a renormalization of the undeformed fields, obtaining finite, well-defined corrections to their two-point functions and their bare conformal weights, for n < N. The fields with maximal twist n = N remain protected from renormalization, with vanishing anomalous dimensions.

A preprint version of the article is available at ArXiv.


中文翻译:

D1-D5 SCFT 中 R 中性 Ramond 场的动力学

我们描述了\( \mathcal{N} \) = (4 , 4) 超共形 ( T 4 ) N /S N orbifold 理论的边缘变形对 R 中性扭曲拉蒙德场的双峰的影响,在大-N近似。我们对其动力学的分析探索了涉及两个 R 中性 Ramond 场和两个变形算子的属零四点函数的显式解析形式。我们使用两种不同的方法计算此相关函数:Lunin-Mathur 路径积分技术和应力张量方法。从其短距离限制中,我们提取了融合中出现的 OPE 结构常数和非 BPS 场的缩放维度。在变形 CFT 中,在变形参数的二阶,n扭曲拉蒙德场的两点函数是 UV 发散的。我们执行适当的正则化,连同未变形场的重整化,获得对它们的两点函数和它们的裸保形权重的有限的、明确定义的校正,对于Ñ<N。具有最大扭曲n = N 的场保持不受重整化的保护,异常维度消失。

该文章的预印版可在 ArXiv 上获得。
更新日期:2021-07-29
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