2014/09/30 by Alexander S. Haupt, Olaf Lechtenfeld, Edvard T. Musaev · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Engineering #Geometry #Heterotic string theory #Instanton #Manifold (fluid mechanics) #Mathematical physics #Mathematics #Moduli space #Nonlinear Waves and Solitons #Order (exchange) #Physics #Supergravity #Supersymmetry #hep-th #math-ph #math.MP
paper · pdf · doi:10.1007/jhep11(2014)152
published as JHEP 11 (2014) 152 · 1+27 pages, 8 figures; v2: typos corrected and minor improvements on solution cases 6-8 in section 5, published version
openalex publication_date 2014/11/01 · arxiv created 2014/12/04 · arxiv updated 2014/12/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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_1=0 . The solutions preserve two real supercharges, which corresponds to 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.