Potential for the slow-roll inflation, mass scale hierarchy and Dark Energy from the Type IIA supergravity

The magnetic fluxbrane solution with a strongly warped throat is studied in the Type IIA supergravity theory with co-dimension one local source which surves as

Z_{2}

-symmetric UV boundary of the throat. Overall volume of extra space is stabilized since introduction of the local source breaks the no-scale structure of the theory and evades the no-go theorem. Radion field is defined as the position of UV boundary 'moved' from its stable value fixed by the anisotropic Israel junction conditions. Analytical expression for the radion effective potential is received. Potential decreases exponentially (exponent is equal to 0,21 in Planck units) in the slow-roll region and apparently meets other demands of the early inflation. Reissner-Nordstrom type deformation of the elementary fluxbrane solution permits to construct the IR end of the throat and results in tiny positive non-zero value of the radion potential in its extremal point seen today as Dark Energy

\rho_{D.E.}

. Expressions for the mass scale hierarchy and for the 'acceleration hierarchy' received in the paper give the physically interesting relation between two hierarchies:

\rho_{D.E.} \sim G_{N}^{2}m^{8}

.

SUPERGRAVITY
INFLATION
DARK ENERGY
HIERARCHY
supergravity
inflation
mass spectrum: hierarchy
dark energy
field equations: solution
moduli space

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