Narasimhan–Ramanan branes and wobbly Higgs bundles-Reference-Cited by-同舟云学术

Narasimhan–Ramanan branes and wobbly Higgs bundles

Published:2024-04-13 Issue:09 Volume:35 Page:
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Franco Emilio¹^ORCID,Gothen Peter B.²^ORCID,Oliveira André²³^ORCID,Peón-Nieto Ana⁴⁵^ORCID

Affiliation:

1. Universidad Autónoma de Madrid and Instituto de Ciencias Matemáticas (CSIC–UAM–UCM–UC3M), Campus de Cantoblanco, 28049 Madrid, Spain

2. Centro de Matemática da Universidade do Porto and Departamento de Matemática, Faculdade de Ciências, Rua do Campo Alegre s/n, 4169-007 Porto, Portugal

3. Departamento de Matemática, Universidade de Trás-os-Montes, e Alto Douro (UTAD) Quinta dos Prados, 5000-911 Vila Real, Portugal

4. Departamento de Matemáticas, Universidade de Santiago, de Compostela, Ráa de Lope Gómez de Marzoa, s/n, 15705, Santiago de Compostela, Spain

5. School of Mathematics, University of Birmingham, Watson Building, Edgebaston, Birmingham B15 2TT, UK

Abstract

Narasimhan–Ramanan branes, introduced by the authors in a previous paper, 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 paper, we show that the support of these branes intersects nontrivially the locus of wobbly Higgs bundles.

Funder

Spanish Ministry of Science and Innovation, through the 'Severo Ochoa Programme for Centres of Excellence in R&D'

CMUP

FCT

Consolidación Investigadora program

Marie Sklodowska-Curie European Individual Fellowship GoH

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X24410064

Reference21 articles.

1. Compactifying the Picard Scheme II

2. Autoduality of compactified Jacobians for curves with plane singularities

3. Generalised parabolic bundles and applications to torsionfree sheaves on nodal curves

4. Langlands duality for Hitchin systems