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(D3)over-bar and dS
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DOI：10.1007/JHEP05(2015)058.png)
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Abstract
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The role of the (D3) over bar brane in providing de Sitter vacua with spontaneously broken supersymmetry in the KK LT construction is clarified. The first step in this direction' was explained in [1, 2]: it was shown there that in the CKP background the bosonic contributions to the vacuum energy from the DBI and WZ term cancel for a D3 brane, but double for a (D3) over bar brane, leading to de Sitter vacua. The next step was taken in [3] where the analogous mechanism of the doubling (cancelation) of the (D3) over bar (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 (D3) over bar /D3 brane in the CKP supergravity background preserving 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.
Keywords:
Supersymmetry Breaking
dS vacua in string theory
D-branes
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