Please use this identifier to cite or link to this item:
https://hdl.handle.net/10216/130402
Author(s): | André Oliveira Gothen, PB Emilio Franco Ana Peon-Nieto |
Title: | Unramified covers and branes on the Hitchin system |
Issue Date: | 2021 |
Abstract: | We study the locus of the moduli space of GL(n, C)-Higgs bundles on a curve given by those Higgs bundles obtained by pushforward under a connected unramified cover. We equip these loci with a hyperholomorphic bundle so that they can be viewed as BBB-branes, and we introduce corresponding BAA-branes which can be described via Hecke modifications. We then show how these branes are naturally dual via explicit Fourier-Mukai transform (recall that GL(n, C) is Langlands self dual). It is noteworthy that these branes lie over the singular locus of the Hitchin fibration. As a particular case, our construction describes the behavior under mirror symmetry of the fixed loci for the action of tensorization by a line bundle of order n. These loci play a key role in the work of Hausel and Thaddeus on topological mirror symmetry for Higgs moduli spaces. (C) 2020 Published by Elsevier Inc. |
URI: | https://hdl.handle.net/10216/130402 |
Document Type: | Artigo em Revista Científica Internacional |
Rights: | openAccess |
Appears in Collections: | FCUP - Artigo em Revista Científica Internacional |
Files in This Item:
File | Description | Size | Format | |
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431676.pdf | 585.24 kB | Adobe PDF | View/Open |
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