Emergence of Spontaneously Broken Supersymmetry on an Anti-D3-Brane in KKLT dS Vacua

TL;DR

This paper demonstrates how the uplifting term in KKLT de Sitter vacua can be understood as arising from spontaneous supersymmetry breaking on an anti-D3-brane, via the emergence of a nilpotent supermultiplet and goldstino dynamics.

Contribution

It provides a string theory derivation of the supersymmetry-breaking uplifting term using the Volkov-Akulov action and nilpotent multiplets on anti-D3-branes.

Findings

Anti-D3-brane actions combine to produce a goldstino multiplet.

The Volkov-Akulov form emerges for the brane actions with orientifolding.

The uplifting term is explained as spontaneous supersymmetry breaking.

Abstract

The KKLT construction of de Sitter vacua includes an uplifting term coming from an anti-D3-brane. Here we show how this term can arise via spontaneous breaking of supersymmetry, based on the emergence of a nilpotent chiral supermultiplet on the world-volume of the anti-D3-brane. We establish and use the fact that both the DBI as well as the WZ term, with account of orientifolding, acquire a form of the Volkov-Akulov action. For an O3 orientifold involution of $\mathbb{R}^{9,1}$ we demonstrate the cancellation between the fermionic parts of the DBI and WZ term for the D3-brane action. For the anti-D3-brane we show that the DBI action and the WZ action combine and lead to the emergence of the goldstino multiplet which is responsible for spontaneous breaking of supersymmetry. This provides a string theoretic explanation for the supersymmetric uplifting term in the KKLT effective supergravity model supplemented by a nilpotent chiral multiplet.