On the Goldstino actions and their symmetries

Details On the Goldstino actions and their symmetries On the Goldstino actions and their symmetries

2011-02-15

arxiv.org/abs/1102.3043v2

JHEP 1105:055,2011

Physics

High Energy Physics

High Energy Physics - Theory

32 pages; Mathematica notebook and data files attached. To view attachments, please download and extract the gzipped tar sourc

Scientific paper

10.1007/JHEP05(2011)055

Starting from the Akulov-Volkov (AV) action, we compute a finite-dimensional Lie group G of all field transformations of the form \lambda -> \lambda ' = \lambda + O(\lambda ^3) which preserve the functional structure of low-energy Goldstino-like actions. Associated with G is its twelve-parameter subgroup H of trivial symmetries of the AV action. The coset space G/H is naturally identified with the space of all Goldstino models. We then apply our construction to study the properties of five different Goldstino actions available in the literature. Making use of the most general field redefinition derived, we find explicit maps between all five cases. In each case there is a twelve- parameter freedom in these maps due to trivial symmetries inherent in the Goldstino actions. Finally, by using the pushforward of the AV supersymmetry, we find the off-shell nonlinear supersymmetry transformations of the other five actions and compare to those normally associated with these actions.

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