from The American Heritage® Dictionary of the English Language, 5th Edition.
- noun A hypothetical particle postulated in supersymmetry theory to be the fermion related to the graviton.
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun physics A
subatomic particle, related to the graviton, predicted by supersymmetry
from The American Heritage® Dictionary of the English Language, 4th Edition
from Wiktionary, Creative Commons Attribution/Share-Alike License
Being that the supersymmetry variation of the gravitino is the covariant derivative of the local spinor parameterizing the supersymmetry transformation, this would seem to always imply that the condition for supersymmetry is that there must exist a covariantly constant spinor field.
(Moduli decaying to the gravitino, which is long-lived, and can screw up BBN etc …) 73.
Another part to my question: The existence of unbroken supersymmetry in a maximally symmetric supergravity solution, from what I understand, requires that the gravitino and all tensor fields vanish, and that the supersymmetry variation of the gravitino must also vanish.
Eric, sorry — what I actually meant to ask was, do you have a moduli-induced gravitino problem?
One can also look at other relationships, such as the ratios of moduli and gravitino masses, the expected scale of the axionic decay constant, etc.
But now put the hierarchy in, specifically low-scale supersymmetry and a TeV-scale gravitino mass.
The reason I ask about the moduli-induced gravitino problem, though, is that in model-building it is not enough to have soft terms that reproduce the SM and get the right dark-matter abundance (though that’s certainly a good start!).