Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-10-09
Phys.Rev.D65:105016,2002
Physics
High Energy Physics
High Energy Physics - Theory
28 pages, 2 figs, Revtex 4
Scientific paper
10.1103/PhysRevD.65.105016
We have studied scalar potentials V of gauged N=8,4,2 supergravities in d=4. Extrema of these potentials may correspond to de Sitter, anti de Sitter and Minkowski vacua. All de Sitter extrema that we have studied correspond to unstable maximum/saddle points with negative curvature |V''|=2V for the fields canonically normalized at the extremum. This is equivalent to the relation |m^2| =|R|/2 = 6H^2 for the tachyonic mass m, the curvature scalar R, and the Hubble constant H. This prevents the use of de Sitter extrema for slow-roll inflation in the early universe, which would require |V''| \ll V . Moreover, in all models that we were able to analyse the potential is unbounded from below. On the other hand, barring the question how realistic such models could be, one can use them for the description of the accelerated expansion of the universe at the present epoch. This is related to a novel possibility of the fast-roll inflation with |V''| > V . We also display some potentials that have flat directions with vanishing cosmological constant, and discuss their possible cosmological implications.
Kallosh Renata
Linde Andrei
Prokushkin Sergey
Shmakova Marina
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