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Bibliographic Details
Main Authors: Chen, Eric Y., Hsiao, Enya, Yang, Mengxue
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2508.09562
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Table of Contents:
  • Interpreting certain holomorphic Lagrangians that arise from the relative Langlands program, we construct moduli stacks underlying the generalized Slodowy categories of Collier--Sanders and $G^\mathbf{R}$-Higgs bundles over a Riemann surface. Furthermore, we extend the Cayley correspondence of Bradlow--Collier--García-Prada--Gothen--Oliveira to a morphism of Lagrangians over the Hitchin moduli stack, and initiate the study of its hyperholomorphic mirror partner under $S$-duality.