Communications in Mathematical Physics

, Volume 331, Issue 3, pp 1271–1300

Higgs Bundles and (A, B, A)-Branes


DOI: 10.1007/s00220-014-2053-6

Cite this article as:
Baraglia, D. & Schaposnik, L.P. Commun. Math. Phys. (2014) 331: 1271. doi:10.1007/s00220-014-2053-6


Through the action of anti-holomorphic involutions on a compact Riemann surface Σ we construct families of (A, B, A)-branes \({\mathcal{L}_{G_{c}}}\) in the moduli spaces \({\mathcal{M}_{G_{c}}}\) 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.

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.School of Mathematical SciencesThe University of AdelaideAdelaideAustralia
  2. 2.Mathematisches InstitutRuprecht-Karls-Universität HeidelbergHeidelbergGermany
  3. 3.Department of MathematicsUniversity of Illinois at Urbana ChampaignUrbanaUSA

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