Order ${\alpha }^{\prime }$ heterotic domain walls with warped nearly Kähler geometry

Abstract

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 [arXiv:1109.3552]. We include first order ${\alpha }^{\prime }$ 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 $\mathcal{N}=1/2$ 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

arXiv comment1+27 pages, 8 figures; v2: typos corrected and minor improvements on solution cases 6-8 in section 5, published version

References in corpus (26)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Flux Compactification
• Flux compactifications in string theory: a comprehensive review
• G-Structures and Wrapped NS5-Branes
• Lectures on Gauged Supergravity and Flux Compactifications
• The intrinsic torsion of SU(3) and G_2 structures
• Torsional Heterotic Geometries
• Seven Dimensional Octonionic Yang-Mills Instanton and its Extension to an Heterotic String Soliton
• Lectures on Nongeometric Flux Compactifications
• Heterotic supersymmetry, anomaly cancellation and equations of motion
• Holomorphic Bundles and the Moduli Space of N=1 Supersymmetric Heterotic Compactifications
• Lectures on Calabi-Yau and special Lagrangian geometry
• A Comment on String Solitons
• Instantons and Killing spinors
• Lectures on Superstring Phenomenology
• G-structures and Domain Walls in Heterotic Theories
• Heterotic fluxes and supersymmetry
• Moduli Stabilising in Heterotic Nearly Kähler Compactifications
• Heterotic domain wall solutions and SU(3) structure manifolds
• Domain Walls, Hitchin's Flow Equations and G_2-Manifolds
• Non-Kaehler Heterotic String Solutions with non-zero fluxes and non-constant dilaton
• Heterotic string plus five-brane systems with asymptotic AdS3
• N=1 domain wall solutions of massive type II supergravity as generalized geometries
• Domain Walls, Triples and Acceleration
• Remarks on string solitons
• Domain wall flow equations and SU(3)xSU(3) structure compactifications

Cited by in corpus (11)

• Connections, Field Redefinitions and Heterotic Supergravity
• The infinitesimal moduli space of heterotic $G_2$ systems
• Infinitesimal moduli of G2 holonomy manifolds with instanton bundles
• On Heterotic Vacua with Fermionic Expectation Values
• Heterotic Supergravity with Internal Almost-Kähler Spaces, Instantons for $SO(32)$, or $E_8\times E_8$, Gauge Groups, and Deformed Black Holes with Soliton, Quasiperiodic and/or Pattern-forming Structures
• Off-Diagonal Deformations of Kerr Metrics and Black Ellipsoids in Heterotic Supergravity
• Heterotic Moduli Stabilisation and Non-Supersymmetric Vacua
• Left-invariant Einstein metrics on $S^3\times S^3$
• A method of deforming G-structures
• Yang-Mills solutions and Spin(7)-instantons on cylinders over coset spaces with $G_2$-structure
• $Spin(7)$ Compactifications and 1/4-BPS Vacua in Heterotic Supergravity