Abstract
We use a new mechanism for generating a Fayet-Iliopoulos term in supergravity, which is not associated to an R symmetry, to construct a semi-realistic theory of slow-roll inflation for a theory with the same K\"ahler potential and superpotential as the KKLT string background (without anti-D3 branes). In our model, supersymmetry must be broken at a high scale in a hidden sector to ensure that the cutoff of the effective field theory is above the Hubble scale of inflation. The gravitino has a super-EeV mass and supersymmetry breaking is communicated to the observable sector through gravity mediation. Some mass scales of the supersymmetry-breaking soft terms in the observable sector can be parametrically smaller than the SUSY breaking scale. If a string realization of the new FI term were found, our model could be the basis for a low energy effective supergravity description of realistic superstring models of inflation.
Highlights
It is rather challenging to describe inflation, supersymmetry (SUSY) breaking, and de Sitter vacua in simple supergravity models and even more so in string theory
The effective field theory description of the KKLT model is a supergravity with a no-scale Kähler potential for its volume modulus and with a superpotential that differs from its constant no-scale form because of two nonperturbative corrections
Our construction begins with the observation that, in the absence of anti-D3 branes, the supergravity scalar potential of the KKLT model has a supersymmetric AdS vacuum and it becomes flat for large values of the volume modulus field
Summary
It is rather challenging to describe inflation, supersymmetry (SUSY) breaking, and de Sitter (dS) vacua in simple supergravity models and even more so in string theory. The effective field theory description of the KKLT model is a supergravity with a no-scale Kähler potential for its volume modulus and with a superpotential that differs from its constant no-scale form because of two nonperturbative corrections.. McAllister, and Trivedi (KKLMMT) proposed a model that modifies KKLT by introducing a contribution arising from the anti-D3 tension in highly warped compactifications [2] Both models, KKLT and the KKLMMT, contain anti-D3 branes, whose known effective field theory description uses nonlinear realizations of supersymmetry. Our construction begins with the observation that, in the absence of anti-D3 branes, the supergravity scalar potential of the KKLT model has a supersymmetric AdS vacuum and it becomes flat for large values of the volume modulus field. To find an approximately flat potential for inflation and a dS postinflationary vacuum, we add an ACIK-FI term to the N 1⁄4 1 supergravity describing the KKLT model without anti-D3 branes.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
