Branes through finite group actions

TL;DR

This paper investigates the geometry and topology of certain branes in the moduli space of flat connections, arising from finite group actions on Riemann surfaces, using Higgs bundles and Hitchin fibrations.

Contribution

It introduces a new analysis of mid-dimensional branes associated with finite group actions, linking their geometry to Higgs bundles and Hitchin fibrations.

Findings

Characterization of branes via Higgs bundles

Description of moduli space topology

Connection between finite group actions and brane geometry

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.