The supersymmetric anti-D3-brane action in KKLT

Abstract

An anti-D3-brane plays a crucial role in the construction of semi-realistic cosmological models in string theory. Part of its action provides an uplift term that has been used to lift AdS solutions to phenomenologically viable dS vacua in the KKLT and LVS setups. In the last few years it has been shown that this uplift breaks supersymmetry spontaneously and can be described in the 4d $\mathcal{N}=1$ supergravity language by using constrained supermultiplets. Here we derive the complete 4d $\mathcal{N}=1$ supergravity action for an anti-D3-brane coupled to all closed string background fields. In particular we include the vector field, the scalar fields and all fermions that live on the anti-D3-brane.

45 pages; v2: minor corrections, references added, published version

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• The Gravitino and the Swampland
• Catastrophic Production of Slow Gravitinos
• Axi-Higgs Cosmology
• Early Dark Energy in Type IIB String Theory
• On de Sitter Spacetime and String Theory
• Uplifting Anti-D6-brane
• Geometry of orientifold vacua and supersymmetry breaking
• Non-supersymmetric String Models from Anti-D3-/D7-branes in Strongly Warped Throats
• Chiral global embedding of Fibre Inflation with $\overline{D3}$ uplift
• Standard Model from A Supergravity Model with a Naturally Small Cosmological Constant
• Non-supersymmetric branes
• de Sitter decay through goldstino evaporation
• Goldstino Condensation?
• Mass Production of Type IIA dS Vacua
• The Gravitino Swampland Conjecture
• Volkov-Akulov-Starobinsky supergravity revisited
• The Super-Stuckelberg procedure and dS in Pure Supergravity
• Superstring at the boundary of open supermembrane interacting with D=4 supergravity and matter supermultiplets
• Goldstino condensation at large N
• Linking the Supersymmetric Standard Model to the Cosmological Constant
• Constrained Superfields in Dynamical Background
• Aether SUSY breaking: Can aether be alternative to F-term SUSY breaking?
• A Novel Solution to the Gravitino Problem
• Complex Linear Multiplets and Local Supersymmetry Breaking