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BRST quantization of the induced gauge theory for the Higgs-branch CFT2

  • Bogdan Stefański Jr
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Abstract

We study Witten's induced gauge theory associated with the D1-D5 Higgs-branch CFT2, 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 Aϕ2 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.

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Cite

BibTeXRIS
BibTeX
@misc{jr2026brst,
  title = {{BRST quantization of the induced gauge theory for the Higgs-branch CFT$_2$}},
  author = {Bogdan Stefański Jr},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.26571},
  eprint = {2609.26571},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.26571},
}
RIS
TY  - UNPB
TI  - BRST quantization of the induced gauge theory for the Higgs-branch CFT_2
AU  - Bogdan Stefański Jr
PY  - 2026
DA  - 2026/10/16
PB  - arXiv
DO  - 10.48550/arxiv.2609.26571
UR  - https://arxiv.org/abs/2609.26571
AB  - 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.
ER  -