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Supergravity corrections due to the energy density of a right-handedsneutrino can generate a negative mass squared for the inflaton, flattening theinflaton potential and reducing the spectral index and inflaton energy density.For the case of D-term hybrid inflation, we show that the spectral index can belowered from the conventional value n = 0.98 to a value within the rangeallowed by the latest WMAP analysis, n = 0.951^{+0.015}_{-0.019}. The modifiedenergy density is consistent with non-observation of cosmic strings in the CMBif n < 0.946. The WMAP lower bound on the spectral index implies that theD-term cosmic string contribution may be very close present CMB limits,contributing at least 5% to the CMB multipoles.Comment: 14 pages LaTeX, 2 eps figures, version to be publishe

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Supergravity modification of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>D</mml:mi></mml:math>-term hybrid inflation: Solving the cosmic string and spectral index problems via a right-handed sneutrino

Supergravity modification ofD-term hybrid inflation: Solving the cosmic string and spectral index problems via a right-handed sneutrino