Abstract
AbstractWe consider flux compactification of type II string theory with local sources on SU(3)‐structure manifolds. By adding pseudo‐calibrated anti‐‐branes wrapped on supersymmetric cycles we generalize all existing models so that the effective , supergravity now includes a nilpotent multiplet. We present a new dictionary between string theory models and Kähler potential K and superpotential W for these dS supergravities with a nilpotent multiplet and non‐linearly realized local supersymmetry. In addition to KKLT and LVS with uplifting ‐branes, we have now new models with uplifting , , , ‐branes. The new uplifting contribution to the supergravity potential due to Volkov‐Akulov supersymmetry is universal. As one application of our general result, we study classical flux compactifications of type IIA supergravity and find that a previously discovered universal tachyon is now absent.
Highlights
We consider flux compactification of type II string theory with local sources on SU(3)-structure manifolds
Since the manifestly supersymmetric version of the KKLT uplifting was proposed in the form in which the anti-D3-brane is represented by a nilpotent multiplet S with S2 = 0, corresponding to VA non-linearly realized supersymmetry [28]
We have shown that the familiar uplifting term from anti-D3-branes can be generalized to all pseudo-calibrated anti-Dp-branes, wrapped on supersymmetric cycles
Summary
We review (classical) flux compactifications of type II supergravity on SU(3)structure manifolds in the presence of calibrated (i.e. supersymmetric) sources, in particular D-branes and O-planes (see for example [1, 2] for an overview). This action is determined by the real Kahler potential K, the holomorphic superpotential W and the holomorphic gauge kinetic function fαβ These depend on the complex scalar fields zi that arise from dimensionally reducing the metric as well as the other ten dimensional string fields. This concludes a short review of flux compactifications of type II supergravity on SU(3)structure manifolds in the presence of calibrated (i.e. supersymmetric) sources (see for example [1, 2] for more details)
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