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arXiv · 2302.02736

Narasimhan--Ramanan branes and wobbly Higgs bundles

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

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Emilio Franco, Peter B. Gothen, André G. Oliveira, Ana Peón-Nieto. 2023-02-06. Narasimhan--Ramanan branes and wobbly Higgs bundles. https://doi.org/10.1142/s0129167x24410064

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