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PreprintCC BY 4.0arXiv

Quasi-algebraic quantization for the B-twist Langlands TQFT

  • Eric Yen-Yo Chen
  • Emilio Franco
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Abstract

This is the first part of a program to construct hyperholomorphic families of boundary conditions for the Kapustin--Witten B-twist of the Langlands QFT, otherwise known as \textit{(BBB)-branes}. We define the category of quasi-algebraic sheaves over the Deligne moduli stack, which serves as an analog of the twistor space of Hitchin's moduli stack. This allow us to construct a representation of a simplified version of the Moore--Tachikawa category which is motivated by the relative Langlands program in the sense of Ben-Zvi--Sakellaridis--Venkatesh.

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Cite

BibTeXRIS
BibTeX
@misc{chen2026quasialgebraic,
  title = {{Quasi-algebraic quantization for the B-twist Langlands TQFT}},
  author = {Eric Yen-Yo Chen and Emilio Franco},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.09098},
  eprint = {2609.09098},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.09098},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Quasi-algebraic quantization for the B-twist Langlands TQFT
AU  - Eric Yen-Yo Chen
AU  - Emilio Franco
PY  - 2026
DA  - 2026/09/08
PB  - arXiv
DO  - 10.48550/arxiv.2609.09098
UR  - https://arxiv.org/abs/2609.09098
AB  - This is the first part of a program to construct hyperholomorphic families of boundary conditions for the Kapustin--Witten B-twist of the Langlands QFT, otherwise known as \textit{(BBB)-branes}. We define the category of quasi-algebraic sheaves over the Deligne moduli stack, which serves as an analog of the twistor space of Hitchin's moduli stack. This allow us to construct a representation of a simplified version of the Moore--Tachikawa category which is motivated by the relative Langlands program in the sense of Ben-Zvi--Sakellaridis--Venkatesh.
ER  -