\( \overline{\mathrm{D}3} \) and dS

  • Eric A. Bergshoeff
  • Keshav Dasgupta
  • Renata Kallosh
  • Antoine Van Proeyen
  • Timm Wrase
Open Access
Regular Article - Theoretical Physics


The role of the \( \overline{\mathrm{D}3} \) 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 [1, 2]: 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 \( \overline{\mathrm{D}3} \) brane, leading to de Sitter vacua. The next step was taken in [3] where the analogous mechanism of the doubling (cancelation) of the \( \overline{\mathrm{D}3} \) (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 \( \overline{\mathrm{D}3} \)/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.


Supersymmetry Breaking dS vacua in string theory D-branes 


Open Access

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Copyright information

© The Author(s) 2015

Authors and Affiliations

  • Eric A. Bergshoeff
    • 1
  • Keshav Dasgupta
    • 2
    • 3
  • Renata Kallosh
    • 3
  • Antoine Van Proeyen
    • 4
  • Timm Wrase
    • 5
  1. 1.Van Swinderen Institute for Particle Physics and GravityUniversity of GroningenGroningenThe Netherlands
  2. 2.Ernest Rutherford Physics BuildingMcGill UniversityMontréalCanada
  3. 3.Department of PhysicsStanford UniversityStanfordU.S.A.
  4. 4.Instituut voor Theoretische Fysica, KU LeuvenLeuvenBelgium
  5. 5.Institute for Theoretical Physics, TU WienViennaAustria

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