Narasimhan--Ramanan branes and wobbly Higgs bundles

Emilio Franco; Peter B. Gothen; André G. Oliveira; Ana Peón-Nieto

doi:10.48550/arXiv.2302.02736

Narasimhan--Ramanan branes and wobbly Higgs bundles

Emilio Franco, Peter B. Gothen, André G. Oliveira, Ana Peón-Nieto

Mathematics

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Abstract

Narasimhan--Ramanan branes were introduced by the authors in a previous article. They consist of a family of BBB-branes inside the moduli space of Higgs bundles, and a family of complex Lagrangian subvarieties. It was conjectured that these complex Lagrangian subvarieties support the BAA-branes that are mirror dual to the Narasimhan--Ramanan BBB-branes. In this article we show that the support of these branes intersects non-trivially the locus of wobbly Higgs bundles.

Original language	English
Publisher	arXiv
DOIs	https://doi.org/10.48550/arXiv.2302.02736
Publication status	Published - 6 Feb 2023

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10.48550/arXiv.2302.02736Licence: Creative Commons: Attribution-NonCommercial-NoDerivs (CC BY-NC-ND)

2302.02736v1Other version, 288 KBLicence: Creative Commons: Attribution-NonCommercial-NoDerivs (CC BY-NC-ND)

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AB - Narasimhan--Ramanan branes were introduced by the authors in a previous article. They consist of a family of BBB-branes inside the moduli space of Higgs bundles, and a family of complex Lagrangian subvarieties. It was conjectured that these complex Lagrangian subvarieties support the BAA-branes that are mirror dual to the Narasimhan--Ramanan BBB-branes. In this article we show that the support of these branes intersects non-trivially the locus of wobbly Higgs bundles.

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Narasimhan--Ramanan branes and wobbly Higgs bundles

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