$\overline{D3}$ and dS

Abstract

The role of the $\overline{D3}$ brane in providing de Sitter vacua with spontaneously broken supersymmetry in the KKLT construction is clarified. The first step in this direction was explained in arXiv:hep-th/0301240, arXiv:hep-th/0308055: it was shown there that in the GKP background the bosonic contributions to the vacuum energy from the DBI and WZ term cancel for a D3 brane, but double for a $\overline{D3}$ brane, leading to de Sitter vacua. The next step was taken in arXiv:1411.1121 where the analogous mechanism of the doubling (cancelation) of the $\overline{D3}$ (D3) DBI and WZ terms was discovered in the presence of Volkov-Akulov fermions living on the brane, in a flat supergravity background. Here we confirm this mechanism of doubling/cancelation for the $\overline{D3}$/D3 brane in the GKP supergravity background preserving $\mathcal{N}=1$, $d=4$ supersymmetry. We find that imaginary self-dual $G_{(3)}$ flux of type $(2,1)$ nicely removes the $SU(3)$ fermion triplet by giving it a large mass, while leaving the Volkov-Akulov goldstino, which is the $SU(3)$ singlet, massless. This makes the de Sitter landscape in D-brane physics clearly related to de Sitter vacua in effective $d=4$ supergravity with a nilpotent multiplet and spontaneously broken supersymmetry.

25 pages; v2: added clarifying comments and one reference

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• From Linear SUSY to Constrained Superfields
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• The Universal Kaehler Modulus in Warped Compactifications
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• The Goldstino Brane, the Constrained Superfields and Matter in N=1 Supergravity
• A New Class of de Sitter Vacua in Type IIB Large Volume Compactifications
• Inflation from Nilpotent Kähler Corrections
• Anti-D3 branes and moduli in non-linear supergravity
• Constrained superfields from an anti-D3-brane in KKLT
• Interactions of N Goldstini in Superspace
• A superfield constraint for N=2 --> N=0 breaking
• Winding Uplifts and the Challenges of Weak and Strong SUSY Breaking in AdS
• Geometry of orientifold vacua and supersymmetry breaking
• The 3.5 keV Line from Stringy Axions
• IIB String Theory and Sequestered Inflation
• Mass Production of Type IIA dS Vacua
• More on DBI action in 4D $\mathcal{N}=1$ supergravity
• Aether SUSY breaking: Can aether be alternative to F-term SUSY breaking?