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arXiv · 2305.04387

Coulomb branch algebras via symplectic cohomology

Eduardo Gonzalez·Cheuk Yu Mak·Daniel Pomerleano
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Abstract

Let $(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and $c_1(T\bar{M})=0$. Suppose that $(\bar{M}, \omega)$ is equipped with a convex Hamiltonian $G$-action for some connected, compact Lie group $G$. We construct an action of the pure Coulomb branch of $G$ on the $G$-equivariant symplectic cohomology of $\bar{M}.$ Building on work of Teleman, we use this construction to characterize the Coulomb branches of Braverman-Finkelberg-Nakajima in terms of equivariant symplectic cohomology.

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Eduardo Gonzalez, Cheuk Yu Mak, Daniel Pomerleano. 2023-05-07. Coulomb branch algebras via symplectic cohomology. https://arxiv.org/abs/2305.04387

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