Inflation Model Based on Virasoro Squeezing
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911665511989248 |
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| author | Ebata, Kenji Katagiri, So Matsuoka, Yoshiki Sehara, Takaaki Sugamoto, Akio |
| author_facet | Ebata, Kenji Katagiri, So Matsuoka, Yoshiki Sehara, Takaaki Sugamoto, Akio |
| contents | We propose a novel mechanism for realizing slow-roll inflation that is fully consistent with observational data, based on conformal transformations acting exclusively on a complex scalar field -- without coupling to the gravitational sector. These transformations generically produce a plateau in the inflaton potential, as guaranteed by the maximum modulus theorem, thereby naturally satisfying the slow-roll conditions.
Our framework utilizes squeezing operations generated by the Virasoro algebra without central extension, as developed in our earlier work. The resulting inflationary potentials depend on the Virasoro mode $n$, the power $m$ of the original potential, and the squeezing parameter $θ$.
We present approximate analytical expressions at leading order for the special case $n=-2$, and perform numerical analyses for both $n=-2$ and other values of $n$. These reveal parameter regimes in which the predicted cosmological observables $(n_{s},r)$ align remarkably well with current CMB measurements. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_02236 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Inflation Model Based on Virasoro Squeezing Ebata, Kenji Katagiri, So Matsuoka, Yoshiki Sehara, Takaaki Sugamoto, Akio High Energy Physics - Theory Cosmology and Nongalactic Astrophysics We propose a novel mechanism for realizing slow-roll inflation that is fully consistent with observational data, based on conformal transformations acting exclusively on a complex scalar field -- without coupling to the gravitational sector. These transformations generically produce a plateau in the inflaton potential, as guaranteed by the maximum modulus theorem, thereby naturally satisfying the slow-roll conditions. Our framework utilizes squeezing operations generated by the Virasoro algebra without central extension, as developed in our earlier work. The resulting inflationary potentials depend on the Virasoro mode $n$, the power $m$ of the original potential, and the squeezing parameter $θ$. We present approximate analytical expressions at leading order for the special case $n=-2$, and perform numerical analyses for both $n=-2$ and other values of $n$. These reveal parameter regimes in which the predicted cosmological observables $(n_{s},r)$ align remarkably well with current CMB measurements. |
| title | Inflation Model Based on Virasoro Squeezing |
| topic | High Energy Physics - Theory Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2507.02236 |