Abstract

In this paper, we use the result in[C.Y. Sun and D.H. Zhang, arXiv:astro-ph/0510709]to calculate the non-Gaussianity of the racetrack models in[J.J. Blanco-Pillado, et al., JHEP 0411 (2004) 063;arXiv:hep-th/0406230] and [J.J. Blanco-Pillado, et al.,arXiv:hep-th/0603129]. The two models give different non-Gaussianities.Both of them are reasonable. However, we find that, for multi-fieldinflationary models with the non-trivial metric of the field space,the condition of the slow-roll cannot guarantee small non-Gaussianities.

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