Seven-Disk Manifold, α-attractors and B-modes

Seven-Disk Manifold, α-attractors and B-modes
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七盘歧管、α 吸引器和 B 模式

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发表时间:
2016
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通讯作者:
R. Kallosh
R. Kallosh
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作者:
S. Ferrara;R. Kallosh

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N = 1超引力中的宇宙学α吸引子模型是基于半径平方R2 = 3 α的庞加莱圆盘的双曲几何。对B模的预测r <$3 α 4 N2依赖于模空间几何,并且对于相当一般的一类势是鲁棒的。这里我们注意到,从G~2完整性的7-流形上紧化的M-理论开始,通过特殊的Betti数选择,可以得到d = 4 N = 1的秩为7的标量陪集[SL(2)SO(2)]~7的超引力。在一个模型中,这7个单位大小的庞加莱圆盘已经确定了模量,我们发现3 α = 7。假设唯象模型的模空间几何是从这个版本的M-理论继承而来的,那么对于N = 53的e-折叠,我们可以预测r = 10 − 2。我们还描述了相关的最大超引力和M/弦理论模型,导致优选值3 α = 1,2,3,4,5,6,7。Sergio.费拉拉@www.example.com,www.example.com ar X iv:1 61 0. 04 16 3v 2 [he pth] 2 8 O ct 2 01 6
Cosmological α-attractor models in N = 1 supergravity are based on hyperbolic geometry of a Poincare disk with the radius square R2 = 3α. The predictions for the B-modes, r ≈ 3α 4 N2 , depend on moduli space geometry and are robust for a rather general class of potentials. Here we notice that starting with M-theory compactified on a 7-manifold with G2 holonomy, with a special choice of Betti numbers, one can obtain d=4 N = 1 supergravity with rank 7 scalar coset [ SL(2) SO(2) ]7 . In a model where these 7 unit size Poincare disks have identified moduli one finds that 3α = 7. Assuming that the moduli space geometry of the phenomenological models is inherited from this version of M-theory, one would predict r ≈ 10−2 for N = 53 e-foldings. We also describe the related maximal supergravity and M/string theory models leading to preferred values 3α = 1, 2, 3, 4, 5, 6, 7. Sergio.Ferrara@cern.ch, kallosh@stanford.edu ar X iv :1 61 0. 04 16 3v 2 [ he pth ] 2 8 O ct 2 01 6
DOI: 10.2172/1352047
发表时间: 2016-10
期刊: --
影响因子: --
作者:
K. Abazajian;Peter Adshead;Z. Ahmed;S. Allen;D. Alonso;K. Arnold;C. Baccigalupi;J. Bartlett;
通讯作者: K. Abazajian;Peter Adshead;Z. Ahmed;S. Allen;D. Alonso;K. Arnold;C. Baccigalupi;J. Bartlett;