From Linear SUSY to Constrained Superfields
By Z. Komargodski, N. Seiberg. 2009
370 citations recorded by the source corpus.
We present a new formalism for finding the low-energy effective Lagrangian of Goldstinos and other fields. This Lagrangian is written using standard superspace and the superfields are constrained to include only the light degrees of freedom. The Goldstino resides in a (constrained) chiral superfield X which is naturally identified at short distances. This allows us to exactly compute the IR behavior of some correlation functions even in strongly coupled theories with SUSY breaking. The Goldstino couplings above the scale of the matter superpartners are determined by identifying X with the standard spurion. At energies below the superpartners' scale, fermions, scalars (including Goldstone bosons) and gauge fields are also described by constrained superfields. Our framework makes it easy to find the leading order terms in the Lagrangian and to control their corrections. It simplifies the derivation of many known results and leads to new ones.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/a384415fda8c9394555c48dad6fbf1a34e60b257
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In Nuclear and High Energy Physics
Citations in the corpus
- Di-photon excess illuminates dark matter (2015, background): “In a generic low energy SUSY-breaking model, there is a light pseudo-modulus (i.e. the sgoldstino) which sits on the same SUSY multiplet of the spin 1/2 goldstino associated to spontaneous SUSY-breaking [67] (see [68] for a more detailed discussion of the sgolstino phenomenology at colliders).”
- Softness and amplitudes’ positivity for spinning particles (2016, methodology): “This term corresponds to the quartic term that appears in the Goldstino lagrangian within the constrained superfield formalism [46, 47].”
- Signature of supersymmetry from the early universe (2011, methodology): “In any model with mx H, one can arrive at the same results without changing the action by imposing the constraint X2 = 0 [35].”
- Emergence of spontaneously broken supersymmetry on an anti-D3-brane in KKLT dS vacua (2014, methodology): “For cosmological applications we use the off-shell construction in [8].”
- On sgoldstino-less supergravity models of inflation (2014, background): “In such a case, we would choose to impose SZ = 0 (rather than Z2 = 0 as considered in [24]), along the lines of the corresponding constraint of global supersymmetry [14].”
- α-attractors: Planck, LHC and dark energy (2015, methodology): “In cosmology we use the recent implementation of nilpotent multiplets suggested in [21].”
- Uplifting Runaways (2018, background): “A related construction, in which a single antibrane is placed on top of an orientifold three-plane, has also been argued to give an uplift mechanism [12], and at the same time to be describable using a nilpotent supergravity action [13,14].”
- Pure de Sitter supergravity (2015, methodology): “The important step for our ability to derive the complete action of a pure dS supergravity is the observation made in [14,15] that VA theory can be described using a chiral superfield Sðx; θÞ 1⁄4 X þ ffiffiffi 2 p θχ þ θ(2)F of global N 1⁄4 1 supersymmetry that satisfies the nilpotent constraint e.”
- D3¯\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \overline{\mathrm{D}3} $$\end{document} and dS (2015, positive): “Here S is the nilpotent chiral multiplet which provides a manifestly supersymmetric version of the Volkov-Akulov goldstino (see for example [24] in case of global susy).”
- Cosmology with nilpotent superfields (2014, neutral): “A non-gravitational part of this action, in the form given in [18] is LV A = −f(2) + i∂μḠσ̄G+ 1 4f2 Ḡ(2)∂(2)G(2) − 1 16f6 G(2)Ḡ(2)∂(2)G(2)∂(2)Ḡ(2) , (2.”