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

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Abstract

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 G c -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.

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Author notes

  1. Laura P. Schaposnik

    Present address: Department of Mathematics, University of Illinois at Urbana Champaign, 1409 West Green Street, Urbana, IL, 61801, USA

Authors and Affiliations

  1. School of Mathematical Sciences, The University of Adelaide, Adelaide, SA, 5005, Australia

    David Baraglia

  2. Mathematisches Institut, Ruprecht-Karls-Universität Heidelberg, 69120, Heidelberg, Germany

    Laura P. Schaposnik

Authors
  1. David Baraglia
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  2. Laura P. Schaposnik
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Correspondence to Laura P. Schaposnik.

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Communicated by N. A. Nekrasov

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Baraglia, D., Schaposnik, L.P. Higgs Bundles and (A, B, A)-Branes. Commun. Math. Phys. 331, 1271–1300 (2014). https://doi.org/10.1007/s00220-014-2053-6

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  • DOI: https://doi.org/10.1007/s00220-014-2053-6

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