Branes through finite group actions

Abstract

Mid-dimensional $(A,B,A)$ and $(B,B,B)$-branes in the moduli space of flat $G_{\mathbb{C}}$-connections appearing from finite group actions on compact Riemann surfaces are studied. The geometry and topology of these spaces is then described via the corresponding Higgs bundles and Hitchin fibrations.

20 pages, comments are welcomed!

References in corpus (2)

• Spectral data for G-Higgs bundles
• Flat rank 2 vector bundles on genus 2 curves

Cited by in corpus (10)

• Hyperbolic band theory through Higgs bundles
• Singular Geometry and Higgs Bundles in String Theory
• Unramified covers and branes on the Hitchin system
• Involutions of the moduli spaces of $G$-Higgs bundles over elliptic curves
• Branes on the singular locus of the Hitchin system via Borel and other parabolic subgroups
• Higgs bundles, Lagrangians and mirror symmetry
• Moduli spaces of generalized hyperpolygons
• Higher solutions of Hitchin's self-duality equations
• Triality for Homogeneous Polynomials
• Finite group actions on Higgs bundle moduli spaces