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arxiv: q-alg/9509021 · v1 · submitted 1995-09-20 · q-alg · math.QA

Vector bundles on elliptic curve and Sklyanin algebras

classification q-alg math.QA
keywords algebrascurveellipticgammaassociativebundlescommondefinition
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In [4] we introduce the associative algebras $Q_{n,k}(\CE,\tau)$. Recall the definition. These algebras are labeled by discrete parameters $n,k$; $n,k$ are integers $n>k>0$ and $n$ and $k$ have not common divisors. Then, $\CE$ is an elliptic curve and $\tau$ is a point in $\CE$. We identify $\CE$ with $\BC/\Gamma$, where $\Gamma$ is a lattice.

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    Conjectures that quantum Coulomb branch algebras of 3D N=4 unitary quiver gauge theories equal truncated shifted quiver Yangians Y(ˆQ, ˆW), verified explicitly for tree-type quivers via monopole actions on 1/2-BPS vortices.