Higgs bundles and (A,B,A)-branes

Abstract

Through the action of anti-holomorphic involutions on a compact Riemann surface, we construct families of (A,B,A)-branes in the moduli spaces of G_c-Higgs bundles on the Riemann surface. We study the geometry of these (A,B,A)-branes in terms of spectral data and show they have the structure of real integrable systems.

25 pages, 1 figure

References in corpus (2)

• Spectral data for G-Higgs bundles
• Langlands duality and G2 spectral curves

Cited by in corpus (20)

• Trisecting non-Lagrangian theories
• Spectral data for U(m,m)-Higgs bundles
• Branes through finite group actions
• Singular Geometry and Higgs Bundles in String Theory
• Branes in the moduli space of framed instantons
• Involutions of the moduli spaces of $G$-Higgs bundles over elliptic curves
• Classification of the automorphism and isometry groups of Higgs bundle moduli spaces
• Moduli spaces of generalized hyperpolygons
• An introduction to spectral data for Higgs bundles
• Parallels between moduli of quiver representations and vector bundles over curves
• Principal Schottky Bundles over Riemann surfaces
• Brane involutions on irreducible holomorphic symplectic manifolds
• Higgs bundles and applications
• Group actions on quiver varieties and applications
• Generalizations of parabolic Higgs bundles, real structures and integrability
• The Kapustin-Witten equations and nonabelian Hodge theory
• Maximal real varieties from moduli constructions
• Automorphisms of ${\mathbb{C}}^{\ast }$ Moduli Spaces Associated to a Riemann Surface
• Pseudo-real principal $G$-bundles over a real curve
• Non-orientable surfaces and electric-magnetic duality