A goldstino at the bottom of the cascade

Abstract

Working within a five-dimensional consistent truncation of type IIB supergravity dimensionally reduced on T 1,1 , we consider supersymmetry breaking solutions with the asymptotics of the supersymmetric KS background [1]. There exists a two-parameter family of such solutions. Within this family, we show that those (and only those) solutions related to antiD-branes at the tip of the conifold correspond to dual field theory vacua where a goldstino mode is present and supercurrent Ward identities hold. Our findings do not depend on the IR singularity of the dual backgrounds, nor on its resolution. As such, they constitute an independent, necessary check for the existence of supersymmetry breaking vacua in the conifold cascading gauge theory. Our analysis relies on a holographic derivation of the Ward identities which has a wider applicability, beyond the specific system and symmetries considered here.

Fermions on the antibrane: Higher order interactions and spontaneously broken supersymmetry

“…This could computed using the torsion classes ( [56]), or computed directly using standard GR techniques. Using GR techniques, we find a simple expression emerges for small resolution parameter a 2 and small value for the parameter σ: 17) which is negative for r ≥ 1.2a. Furthermore one can check that for general a, i.e.…”

“…This is good because then at the supergravity level we are effectively inserting a three-brane in a wrapped D5-brane background. To compensate for this new source of energy-momentum tensor the warp-factors change slightly as: 47) where this change is over and above the δF change in (2.9) that was there in the absence of D3-brane 17 . The dilaton φ also changes from zero to δφ, but, as a first trial, we keep the complex structure of the non-Kähler resolved conifold fixed to (2.30) (as we shall see, this will have to be changed).…”

“…When combined with the primitive (2, 1) piece that we had in (2.36), this would enter the mass formula given in (2.5) to give masses to the corresponding fermions. 17 Note that due to the probe nature, δF5 = δF6 = 0 along with vanishing (F5, F6), so that the form of the metric remains (2.26) and the topology doesn't change.…”

Towards an explicit model of large field inflation

“…The use of simple and well-studied ingredients, such as anti-D3 branes and throat geometries in flux compactifications, make this one of the 9 See also [57,58]. 10 The holographic interpretation of this parameter was recently clarified in [59].…”

Unstoppable brane-flux decay of D 6 ¯ $$ \overline{\mathrm{D}6} $$ branes

“…The question then is whether this type of supersymmetry breaking can be metastable. If so, then it would be of great practical use in constructing string models for dS vacua [2], inflation [3], near-extremal black hole micro-states [4,5] and holographic duals to dynamical supersymmetry-breaking [1,[6][7][8][9][10][11] (and see [12] for related work).…”