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Vertex Algebra constructions for (analytic) Geometric Langlands in genus zero

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arxiv 2110.02255 v2 pith:MTFDOR4Z submitted 2021-10-05 hep-th math.AG

Davide Gaiotto This is my paper · ORCID
classification hep-thmath.AG
keywords algebraanalyticgeometriclanglandscertainchiralconstructionscontext
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We employ two-dimensional chiral algebra techniques to produce solutions of certain differential and integral equations which occur in the context of the Analytic Geometric Langlands Program.

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  1. $Q$-operators, $q$-opers, and R-matrices in 5d $\mathcal{N}=1$ gauge theory

    hep-th 2025-07 conditional novelty 7.0 of 10

    In 5d N=1 U(N) gauge theory, codimension-two defects produce Q-operators whose q-difference equations are the Baxter TQ equations of XXZ spin chains built on bi-infinite evaluation modules of quantum affine algebras.

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