发表机构
Department of Mathematics, City St George’s, University of London（伦敦大学城市圣乔治学院数学系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文对D1-D5 Higgs分支CFT${}_2$的Witten诱导规范理论提出BRST量子化方案，推导诱导传播子，验证鬼场贡献、Slavnov-Taylor恒等式及规范不变性，建立微扰计算框架。
AI 中文摘要
我们研究了与D1-D5 Higgs分支CFT${}_2$相关的Witten诱导规范理论，其中非动力学矢量多重态通过积分掉基本超多重态而重新激活。我们提出了该理论的BRST量子化方案，并推导了其诱导传播子。我们证明了鬼场扇区首次在次领头阶出现贡献，诱导的$A\phi^2$顶点满足Slavnov-Taylor恒等式，且规范不变的关联函数与规范参数无关。结合我们选择的正规化方案，这为计算诱导理论中的可观测量提供了一个微扰框架。
英文摘要
We study Witten's induced gauge theory associated with the D1-D5 Higgs-branch CFT${}_2$, in which the non-dynamical vector multiplet becomes reanimated by integrating out the fundamental hypermultiplets. We propose a BRST quantisation of this theory and derive its induced propagators. We show that the ghost sector first contributes at subleading order, that the induced $Aϕ^2$ vertex satisfies the Slavnov-Taylor identity and that gauge-invariant correlators are independent of the gauge parameter. Together with our chosen regularization prescription, this gives a perturbative framework for computing observables in the induced theory.
Comments33 pages
