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Quivers with Involutions and Shifted affine iQuantum groups via Coulomb Branches

Abstract

We give a formula for quasi-minuscule monopole operators in K-theoretic quantized Coulomb branch algebras of cotangent type. We then study signed quivers with involutions, with orthogonal or symplectic gauge factors at the involution-fixed vertices. We construct a GKLO-type homomorphism from the corresponding shifted affine iquantum group to an algebra of q-difference operators and prove that it factors through the quantized Coulomb branch algebra. These homomorphisms give geometric realizations of the shifted affine iquantum groups in terms of dressed minuscule and quasi-minuscule monopole operators.

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BibTeX
@misc{shen2026quivers,
  title = {{Quivers with Involutions and Shifted affine $\mathrmi$Quantum groups via Coulomb Branches}},
  author = {Yaolong Shen and Changjian Su and Zichang Wang and Rui Xiong},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.32400},
  eprint = {2610.32400},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.32400},
}
RIS
TY  - UNPB
TI  - Quivers with Involutions and Shifted affine iQuantum groups via Coulomb Branches
AU  - Yaolong Shen
AU  - Changjian Su
AU  - Zichang Wang
AU  - Rui Xiong
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2610.32400
UR  - https://arxiv.org/abs/2610.32400
AB  - We give a formula for quasi-minuscule monopole operators in K-theoretic quantized Coulomb branch algebras of cotangent type. We then study signed quivers with involutions, with orthogonal or symplectic gauge factors at the involution-fixed vertices. We construct a GKLO-type homomorphism from the corresponding shifted affine iquantum group to an algebra of q-difference operators and prove that it factors through the quantized Coulomb branch algebra. These homomorphisms give geometric realizations of the shifted affine iquantum groups in terms of dressed minuscule and quasi-minuscule monopole operators.
ER  -