Abstract
Fermionic terms in a class of locally supersymmetric theories called "liberated supergravity" are nonrenormalizable interactions proportional to inverse powers of the supersymmetry breaking scale and Planck mass. This property defines an intrinsic cutoff for liberated supergravities, which are therefore effective theories valid only below energies that never exceed the cutoff. Requiring that the cutoff exceeds current theoretical and observational bounds shows that the new scalar potential terms allowed by liberated supergravity can neither change the cosmological constant predicted by supergravity by any observable amount, nor give measurable contributions to particle masses. We show that it is nevertheless possible to define a simple liberated supergravity model of slow roll inflation valid up to energy scales that are well above the Hubble parameter during inflation and exceeds observable limits after inflation. The key to constructing a viable model is to change the supersymmetry breaking scale, from a Planck-scale value during inflation, to TeV-scale after inflation.
Highlights
Supergravity strongly constrains the form of the scalar potential [1], it makes the construction of specific models of elementary interactions or inflation challenging
The scalar potential of liberated supergravity need not be of the special form given in [1]; it is a completely general function of the scalar fields
As any other gravity theory, liberated supergravity contains nonrenormalizable interaction, so it is by construction an effective theory valid only up to a finite cutopffffiffiffitffihffiffiffiaffiffit cannot exceed the Planck scale Λcut ≲ 1= 8πG ≡ Mpl
Summary
Fermionic terms in a class of locally supersymmetric theories called “liberated supergravity” are nonrenormalizable interactions proportional to inverse powers of the supersymmetry breaking scale and Planck mass Mpl. Fermionic terms in a class of locally supersymmetric theories called “liberated supergravity” are nonrenormalizable interactions proportional to inverse powers of the supersymmetry breaking scale and Planck mass Mpl This property defines an intrinsic cutoff for liberated supergravities, which are effective theories valid only below energies that never exceed the cutoff. Requiring that the cutoff exceeds current theoretical and observational bounds shows that the new scalar potential terms allowed by liberated supergravity can neither change the cosmological constant predicted by supergravity by any observable amount, nor give measurable contributions to particle masses. We show that it is possible to define a simple liberated supergravity model of slow roll inflation valid up to energy scales that are well above the Hubble parameter during inflation and exceeds observable limits after inflation.
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