Abstract
We study the effect of brane polarization on the supersymmetry transformations of probe anti-D3-branes at the tip of a Klebanov-Strassler throat geometry. As is well known, the probe branes can polarize into NS5-branes and decay to a supersymmetric state by brane-flux annihilation. The effective potential has a metastable minimum as long as the number of anti-D3-branes is small compared to the number of flux quanta. We study the reduced four-dimensional effective NS5-brane theory and show that in the metastable minimum supersymmetry is non-linearly realized to leading order, as expected for spontaneously broken supersymmetry. However, a strict decoupling limit of the higher order corrections in terms of a standard nilpotent superfield does not seem to exist. We comment on the possible implications of these results for more general low-energy effective descriptions of inflation or de Sitter vacua.
Highlights
Constrained superfields are often effective descriptions of the low-energy excitations
An important condition for obtaining universal (UV insensitive) couplings to the goldstino, and standard constrained superfield descriptions, is that the masses of the heavy superpartners should be large compared to the supersymmetry breaking scale
As anticipated by the physical interpretation in terms of braneflux decay, this seems to describe an exact non-linear realization of supersymmetry when adding anti-D3-branes to the GKP background and ignoring the dynamics describing the polarization in the transverse S3 directions
Summary
Let us start with a short review of some of the results of Kachru, Pearson and Verlinde (KPV) [18]. We are forced to restrict to flu√ctuations that are small compared to the dimensionless mass parameter mψ = 2 2/b20, which is of order one, but small compared to a dimensionless parameter set by the field value in the metastable minimum: δψ ψmin ∼ p/M. The importance of this basic observation will become clear when we discuss the corrected supersymmetry transformations in the metastable vacuum. We will arrange the kinetic terms of the fermions to have the same constant prefactor (for small fluctuations at least), such that we can consistently compare mass scales
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