The CoHA affine Yangian identification for cyclic quivers

At least 1 year old · documented by

Let K>2K>2, and let YKY^{K} be the C[Chbar1,Chbar2]C[Chbar_1,Chbar_2]-linear algebra obtained by gluing the two copies of the double deformed current algebra AKA^K constructed from observables on M2 branes. Let Yℏ1,ℏ2(K),CoHA⁡\mathcal{Y}^{(K),\operatorname{CoHA}}_{\hbar_1,\hbar_2} denote the CoHA integral form of the affine Yangian associated with gl(K)\mathfrak{gl}(K). The CoHA affine Yangian identification. For any K>2K>2, there is an isomorphism of algebras

YK≃Yℏ1,ℏ2(K),CoHA⁡.Y^{K} \simeq \mathcal{Y}^{(K),\operatorname{CoHA}}_{\hbar_1,\hbar_2}.

This is an expected identification between the algebra constructed in the physics literature and the CoHA integral form of the affine Yangian; the supplied source does not give evidence that it has been proved or disproved.

References

Primary source

Shivang Jindal, “CoHA of Cyclic Quivers and an Integral Form of Affine Yangians”, arXiv:2408.02618 (2026).

Progress summary

Never refreshed

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Solutions 0

No solutions have been posted yet.