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arXiv:0809.4941 (September 2008)
Prospects of inflation with perturbed throat geometry
Amna Ali, R. Chingangbam, Sudhakar Panda and M. Sami
Centre of Theoretical Physics, Jamia Millia Islamia, New Delhi-110025, India
Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad-211019, India
Received. 29 September 2008  Last updated. 29 September 2008
Abstract. We study brane inflation in a warped deformed conifold background that includes general possible corrections to the throat geometry sourced by coupling to the bulk of a compact Calabi-Yau space. We focus specifically, on the perturbation by chiral operator of dimension 3/2 in the CFT. We find that the effective potential in this case can give rise to required number of e-foldings. The COBE normalization is easily satisfied and the tensor to scalar ratio of perturbations is generally low in this scenario. The effective potential has minimum which should be close to the origin for generic values of the model parameters. The numerical value of slow roll parameter $eta$ is independent of the model parameters at the minimum, $eta_{min}=1/3$. As the $D3$ brane rolls towards the tip of the throat, it encounters the situation with $eta>1/3$ till the field reaches the minimum of the potential. The region where $eta$ is small lies below $phi_{min}$ and is not accessible dynamically. The spectral index in this model is larger than 5/3 independently of the choice of model parameters.
Categories. hep-th astro-ph gr-qc hep-ph
Comment. 7 pages and four figures
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