Mar 3 – 7, 2025
Kavli IPMU
Asia/Tokyo timezone

Quiver Yangians as Coulomb branch algebras

Mar 7, 2025, 10:00 AM
1h
Lecture Hall (Kavli IPMU)

Lecture Hall

Kavli IPMU

Speaker

Wei Li (Institute of Theoretical Physics, Chinese Academy of Sciences)

Description

For a 3D N=4 gauge theory, turning on the Omega-background deforms the Coulomb branch chiral ring into the quantum Coulomb branch algebra, generated by the 1/2-BPS monopoles together with the complex scalar in the vector-multiplet. We conjecture that for a 3D N=4 quiver gauge theory with unitary gauge group, the quantum Coulomb branch algebra can be formulated as the truncated shifted quiver Yangian $Y(\hat{Q},\hat{W})$ based on the triple quiver $\hat{Q}$ of the original quiver Q with canonical potential $\hat{W}$. The Hilbert spaces of vortices approaching different vacua at spatial infinity furnish different representations of the shifted quiver Yangian, and all the charge functions have only simple poles.

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