Journal of High Energy Physics

, 2014:152 | Cite as

Order α′ heterotic domain walls with warped nearly Kähler geometry

  • Alexander S. Haupt
  • Olaf LechtenfeldEmail author
  • Edvard T. Musaev
Open Access
Regular Article - Theoretical Physics


We consider (1+3)-dimensional domain wall solutions of heterotic supergravity on a six-dimensional warped nearly Kähler manifold X 6 in the presence of gravitational and gauge instantons of tanh-kink type as constructed in [1]. We include first order α′ corrections to the heterotic supergravity action, which imply a non-trivial Yang-Mills sector and Bianchi identity. We present a variety of solutions, depending on the choice of instantons, for the special case in which the SU(3) structure on X 6 satisfies \( {W}_{\overline{1}}=0 \). The solutions preserve two real supercharges, which corresponds to \( \mathcal{N}=1/2 \) supersymmetry from the four-dimensional point of view. Besides serving as a useful framework for collecting existing solutions, the formulation in terms of dynamic SU(3) structures utilized here allows us to obtain new solutions in as yet unexplored corners of the instanton configuration space. Our approach thus offers a unified description of the embedding of tanh-kink-type instantons into half-BPS solutions of heterotic supergravity where the internal six-dimensional manifold has a warped nearly Kähler geometry.


Flux compactifications Solitons Monopoles and Instantons Supergravity Models 


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© The Author(s) 2014

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  • Alexander S. Haupt
    • 1
    • 2
  • Olaf Lechtenfeld
    • 1
    Email author
  • Edvard T. Musaev
    • 1
    • 3
    • 4
  1. 1.Institut für Theoretische Physik and Riemann Center for Geometry and PhysicsLeibniz Universität HannoverHannoverGermany
  2. 2.Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)PotsdamGermany
  3. 3.Université de Lyon, Laboratoire de Physique, UMR 5672, CNRS, École Normale Supérieure de LyonLyon CEDEX 07France
  4. 4.National Research University Higher School of Economics, Faculty of MathematicsMoscowRussia

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