2011/02/28 by Sergei M. Kuzenko, Simon J. Tyler · 1 citation
Mathematics · Physics and Astronomy · #Action (physics) #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Computer science #Coset #Discrete mathematics #Field (mathematics) #Geometry #Group (periodic table) #Homogeneous space #Lambda #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum mechanics #Space (punctuation) #Supersymmetry #Theoretical physics #hep-th #msc:81Q60
paper · pdf · doi:10.1007/jhep05(2011)055
published as JHEP 1105:055,2011 · 32 pages; Mathematica notebook and data files attached. To view attachments, please download and extract the gzipped tar source file listed under "Other formats". V2: comments, references and a new appendix added
arxiv created 2011/03/18 · openalex publication_date 2011/05/01 · arxiv updated 2015/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Starting from the Akulov-Volkov (AV) action, we compute a finite-dimensional Lie group G of all field transformations of the form λ-> λ' = λ+ O(λ3) 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.