The iCoulomb branch and shifted iYangian conjecture

Let Q=(I,Ω)Q=({\mathbb I},\Omega) be an ADE quiver, let (Vi;Wi)iI(V_i;W_i)_{i\in{\mathbb I}} be a representation of its framed double quiver, and impose the stated Satake-diagram symmetry and parity conditions on VV and WW. Let MCı(Vı,Wı)\mathcal M_C^\imath(V^\imath,W^\imath) be the associated iCoulomb branch and ıWμλ{}^\imath\overline{\mathcal{W}}_\mu^\lambda the corresponding affine Grassmannian islice. The iCoulomb branch and shifted iYangian conjecture. The iCoulomb branch MCı(Vı,Wı)\mathcal M_C^\imath(V^\imath,W^\imath) is a normalization of a top-dimensional component of ıWμλ{}^\imath\overline{\mathcal{W}}_\mu^\lambda, and truncated shifted iYangians are subalgebras of quantized Coulomb branches. The statement is presented as a new conjectural relationship between iCoulomb branches, affine Grassmannian islices, and shifted iYangians; the paper gives no resolution.

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Primary source

Kang Lu, Weiqiang Wang and Alex Weekes, “Shifted twisted Yangians and affine Grassmannian islices”, arXiv:2510.10652 (2025).

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