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

Through the action of anti-holomorphic involutions on a compact Riemann surface Σ we construct families of (A, B, A)-branes LGc in the moduli spaces MGc of Gc-Higgs bundles on Σ. 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.David Baraglia, Laura P. Schaposni