Abstract
Guided by the naturalness criterion for an exponentially small cosmological constant, we present a string theory motivated 4-dimensional mathcal{N} = 1 non-linear supergravity model (or its linear version with a nilpotent superfield) with spontaneous supersymmetry breaking. The model encompasses the minimal supersymmetric standard model, the racetrack Kähler uplift, and the KKLT anti-D3-branes, and use the nilpotent superfield to project out the undesirable interaction terms as well as the unwanted degrees of freedom to end up with the standard model (not the supersymmetric version) of strong and electroweak interactions.
Highlights
E-mail: sykobeli@mit.edu, yqiuai@connect.ust.hk, iastye@ust.hk, sht5@cornell.edu Abstract: Guided by the naturalness criterion for an exponentially small cosmological constant, we present a string theory motivated 4-dimensional N = 1 non-linear supergravity model with spontaneous supersymmetry breaking
After imposing the constraints (2.4), the particle spectrum of the mNSSM model is reduced to exactly that in the standard model (SM), except for the very light modes of S, Ui and T. Since these modes are not confined to the D3-brane(s), their superpartners cannot be projected out by X
Once the contributions to Λ from the D3-brane tension cancels the Higgs potential Vh,min, the value of Λ follows from the T stabilization in the RKU model [1, 4]
Summary
The constraint X2 = 0 (2.4a) projects out the scalar degree of freedom of X. Where Gα is the fermion which contributes to part of goldstino and F X is the auxiliary field. Since the expectation value GG = 0, x and any field component in (2.3) that contains Gα (due to constraints (2.4)) will drop out in V .1. √ let us consider a quark chiral superfield Q = q + 2Θψ + Θ2F Q. (Since Gα plays no role in the determination of ∆V , we can consider a simpler X = θ2F X which satisfies. XQ = 0 implies qF X = 0 so q is projected out.) The other constraints are similar
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