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Order alpha heterotic domain walls with warped nearly Kähler geometry

MPS-Authors

Haupt,  Alexander S.
AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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Musaev,  Edvard T.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1409.0548.pdf
(Preprint), 2MB

JHEP2014_11_152.pdf
(Publisher version), 592KB

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Citation

Haupt, A. S., Lechtenfeld, O., & Musaev, E. T. (2014). Order alpha heterotic domain walls with warped nearly Kähler geometry. Journal of High Energy Physics, 2014: 152, pp. 11. doi:10.1007/JHEP11(2014)152.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0023-CCFA-E
Abstract
We consider 1+3-dimensional domain wall solutions of heterotic supergravity on a six-dimensional warped nearly K\"ahler 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 $\alpha'$ 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 K\"ahler geometry