$\overline{D3}$ 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

References in corpus (39)

• Planck 2013 results. XVI. Cosmological parameters
• Towards Inflation in String Theory
• Supergravity description of field theories on curved manifolds and a no go theorem
• M Theory, Orientifolds and G-Flux
• Super D-branes
• The Dirichlet Super-p-Branes in Ten-Dimensional Type IIA and IIB Supergravity
• From Linear SUSY to Constrained Superfields
• D-Brane Actions with Local Kappa Symmetry
• Brane Supersymmetry Breaking
• Landscape, the Scale of SUSY Breaking, and Inflation
• Gauge-Invariant and Gauge-Fixed D-Brane Actions
• Kappa-Symmetry, Supersymmetry and Intersecting Branes
• The Dirichlet Super-Three-Brane in Ten-Dimensional Type IIB Supergravity
• Five-branes And $M$-Theory On An Orbifold
• Cosmology with Nilpotent Superfields
• The Minimal Volkov - Akulov - Starobinsky Supergravity
• Soft Supersymmetry Breaking in Calabi-Yau Orientifolds with D-branes and Fluxes
• Thoughts on Tachyon Cosmology
• Anomaly Cancellations in the Type I D9-anti-D9 System and the USp(32) String Theory
• Dirac actions for D-branes on backgrounds with fluxes
• Orbifolds of M-theory
• Emergence of Spontaneously Broken Supersymmetry on an Anti-D3-Brane in KKLT dS Vacua
• On sgoldstino-less supergravity models of inflation
• Inflation and Uplifting with Nilpotent Superfields
• The Universal Kaehler Modulus in Warped Compactifications
• Relating the Komargodski-Seiberg and Akulov-Volkov actions: Exact nonlinear field redefinition
• D3 Brane Action and Fermion Zero Modes in Presence of Background Flux
• de Sitter Vacua in Type IIB String Theory: Classical Solutions and Quantum Corrections
• Analytic Classes of Metastable de Sitter Vacua
• An index for the Dirac operator on D3 branes with background fluxes
• Fermions, T-duality and effective actions for D-branes in bosonic backgrounds
• Brane Effective Actions, Kappa-Symmetry and Applications
• Inflation, de Sitter Landscape and Super-Higgs effect
• Dirac-Born-Infeld-Volkov-Akulov and Deformation of Supersymmetry
• Comments on Non-Supersymmetric Orientifolds at Strong Coupling
• The Super D9-Brane and its Truncations
• Soft branes in supersymmetry-breaking backgrounds
• Volkov-Akulov theory and D-branes
• Truncations of the D9-brane action and type-I strings

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