Superfield description of the FRW universe

A premier analysis of supersymmetric closed string tachyon cosmology

“…The natural invariance of this Lagrangian under time reparametrizations is extended to supersymmetry introducing a Grassmann superspace associated to the bosonic time coordinate t (see Tkach et al in [6,7]). …”

“…Supersymmetric cosmology has been studied in a variety of different schemes, we refer the interested reader to the well known books by D'Eath and Moniz for a review [3,4]. In [5] a Lagrangian of supersymmetric tachyons in the framework of a FRW background was given in a worldline superspace where, the time variable is extended to the superspace of supersymmetry [6,7], this is done considering the covariant formulation of one-dimensional supergravity of the so called 'new' Θ variables [8,9], which allows in a straightforward way to write supergravity invariant actions. The present work is performed along such approach, we depart from the Hamiltonian given in [5], then we give a particular, and normalizable, solution to the WheelerDeWitt equation via the superalgebra constraints, which act as square roots of the WDW equation.…”

What local supersymmetry can do for cosmology?

“…In order to obtain the superfield formulation of the Einstein-Hilbert action we extend the transformations of time reparametrization t = t + a(t), to the n = 2 local conformal time supersymmetry (t, η,η), where η andη are the superpartners of the usual time parameter t. More details about the procedure can be found in [13,14].…”

“…One of them, the superfield method, was formulated in [13,14,15]. This local supersymmetry procedure has the advantage that, by defining the superfields on superspace, all the component fields in a supermultiplet can be manipulated simultaneously in a manner that automatically preserves supersymmetry.…”

Extended Supersymmetry for the Bianchi-Type Cosmological Models

“…6 In this approach we started with the action of the spatially homogeneous minisuperspace models and proceeded with supersymmetrization. Because the starting action preserves the invariance under local time reparametrization, then the supersymmetric action must be invariant under the extended local symmetry (supersymmetry).…”