Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-10-22
Nucl.Phys.B797:137-178,2008
Physics
High Energy Physics
High Energy Physics - Theory
v4: 57 pages, 9 figures, modified discussion on Wilson lines
Scientific paper
10.1016/j.nuclphysb.2007.12.030
We consider classical superstring theories on flat four dimensional space-times, and where N=4 or N=2 supersymmetry is spontaneously broken. We obtain the thermal and quantum corrections at the string one-loop level and show that the back-reaction on the space-time metric induces a cosmological evolution. We concentrate on heterotic string models obtained by compactification on a T^6 torus and on T^6/Z_2 orbifolds. The temperature T and the supersymmetry breaking scale M are generated via the Scherk-Schwarz mechanism on the Euclidean time cycle and on an internal spatial cycle respectively. The effective field theory corresponds to a no-scale supergravity, where the corresponding no-scale modulus controls the Susy-breaking scale. The classical flatness of this modulus is lifted by an effective thermal potential, given by the free energy. The gravitational field equations admit solutions where M, T and the inverse scale factor 1/a of the universe remain proportional. In particular the ratio M/T is fixed during the time evolution. The induced cosmology is governed by a Friedmann-Hubble equation involving an effective radiation term ~1/a^4 and an effective curvature term ~1/a^2, whose coefficients are functions of the complex structure ratio M/T.
Catelin-Jullien Tristan
Kounnas Costas
Partouche Herve
Toumbas Nicolaos
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