具有双曲Kaehler几何的极致Higgs暴胀
Pole-Induced Higgs Inflation With Hyperbolic Kaehler Geometries
摘要：
我们提出了新的实现希格斯通货膨胀在超引力，这在很大程度上是依赖于存在一个极点的阶二的动力学项的暴胀场。这个极点是由于所选择的Kaehler势而产生的，Kaehler势分别以标量曲率为R_{(11)^2} =-4/N或R_{21} =-3/N的（SU（1，1）/U（1））^2或SU（2，1）/（SU（2）xU（1））流形为参数。除了希格斯超场，相关的超势还包括一个稳定超场，遵守规范和R对称性，并包含第一个允许的不可重正化项。如果这一项的系数与可重整化项的系数在10^-5以内几乎相等，并且N=1，那么暴胀观测量就可以与现有数据相容，规范对称性破缺的尺度M也可以在MSSM内取其值。然而，增加M超过这个值，可以用较少的调谐来实现暴胀。对与上述流形相关的凯勒势的修改允许仅用可重正化项实现的暴胀，导致当N在N=40时接近其最大值时更高的张量标量比。
英文摘要：
We present novel realizations of Higgs inflation within Supergravity which are largely tied to the existence of a pole of order two in the kinetic term of the inflaton field. This pole arises due to the selected Kaehler potentials which parameterize the (SU(1,1)/U(1))^2 or SU(2,1)/(SU(2)xU(1)) manifolds with scalar curvatures R_{(11)^2}=-4/N or R_{21}=-3/N respectively. The associated superpotential includes, in addition to the Higgs superfields, a stabilizer superfield, respects the gauge and an R symmetries and contains the first allowed nonrenormalizable term. If the coefficient of this term is almost equal to that of the renormalizable terms within about 10^-5 and N=1, the inflationary observables can be done compatible with the present data and the scale M of gauge-symmetry breaking may assume its value within MSSM. Increasing M beyond this value, though, inflation may be attained with less tuning. Modifications to the Kaehler potentials associated with the manifolds above allow for inflation, realized with just renormalizable terms, resulting to higher tensor-to-scalar ratios as N approaches its maximum at N=40.
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