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.

arXiv comment20 pages, comments are welcomed!

References in corpus (12)

• Mirror symmetry, Langlands duality, and the Hitchin system
• Symplectic structure of the moduli space of flat connections on a Riemann surface
• The locus of curves with prescribed automorphism group
• Orbifold Riemann Surfaces and the Yang-Mills-Higgs Equations
• Higgs bundles and (A,B,A)-branes
• Real structures on moduli spaces of Higgs bundles
• Spectral data for G-Higgs bundles
• Nonabelianization of Higgs bundles
• Spectral data for U(m,m)-Higgs bundles
• Monodromy of the SL_2 Hitchin fibration
• Flat rank 2 vector bundles on genus 2 curves
• Higgs bundles and characteristic classes

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