Opers and the twisted Bogomolny equations

Siqi He; Rafe Mazzeo

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arXiv · 1902.11183

Opers and the twisted Bogomolny equations

Siqi He·Rafe Mazzeo

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Abstract

In this paper, we study the dimensionally reduced twisted Kapustin-Witten equations on the product of a compact Riemann surface $\Sigma$ with $\mathbb{R}^+$. The main result is a Kobayashi-Hitchin type correspondence between the space of tilted Nahm pole solutions and the moduli space of Beilinson-Drinfeld opers. This corroborates a prediction of Gaiotto and Witten \cite[p.971]{gaiotto2012knot}.

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BibTeX RIS

Siqi He, Rafe Mazzeo. 2019-02-28. Opers and the twisted Bogomolny equations. https://arxiv.org/abs/1902.11183

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