巴西圣保罗州立大学Cassiano A. Daniel团队研究了AdS中的费米子积分。2025年2月25日，《高能物理杂志》发表了这一成果。
关于弯曲背景中的超弦散射振幅，人们知之甚少。利用AdS3×S3中具有纯NS-NS三形式通量的混合形式，研究组计算了插入在AdS3边界上的半BPS顶点算子的PSU（1，1|2）协变三点振幅，并表明其与RNS计算一致。AdS中费米子的零模规定是根据“标准”时空SUSY发生器定义的。研究发现，在路径积分中积分出费米子世界表场会产生目标空间标架场，它明确地编码了边界上的共形群与AdS体的对称群是一致的。
附：英文原文
Title: Integrating out the fermions in AdS
Author: Daniel, Cassiano A.
Issue&Volume: 2025-02-25
Abstract: Not much is known about superstring scattering amplitudes in curved backgrounds. Using the hybrid formalism in AdS3 × S3 with pure NS-NS three-form flux, we compute a PSU(1, 1|2)-covariant three-point amplitude for half-BPS vertex operators inserted on the AdS3 boundary and show that it agrees with the RNS computation. The zero-mode prescription for the fermions in AdS is defined in terms of the “standard” spacetime SUSY generator. It is found that integrating out the fermionic worldsheet fields in the path integral gives rise to the target-space vielbein, which explicitly encodes that the conformal group on the boundary is identified with the symmetry group of the AdS bulk.
DOI: 10.1007/JHEP02(2025)163
Source: https://link.springer.com/article/10.1007/JHEP02(2025)163