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The generalized sl(2,R) and su(1,1) in non-minimal constant-roll inflation
Annals of Physics ( IF 3.0 ) Pub Date : 2021-04-30 , DOI: 10.1016/j.aop.2021.168487
Mehdi Shokri , Jafar Sadeghi , Mohammad Reza Setare

In the present work, we consider the non-minimal coupling inflationary model in the context of the constant-roll idea which is investigated by the first-order formalism. We attempt to find the hidden symmetries behind the model by the Lie symmetry method. We supply this aim by using the symmetry features of the Heun function instead of Killing vector approach. We show that the hidden symmetries of the non-minimal constant-roll inflation in the cases of power-law and exponential couplings are characterized as a generalized form of sl(2,R) and su(1,1) algebra,



中文翻译:

广义的 s2个[Rsü1个1个 在非最小恒定侧倾充气中

在目前的工作中,我们在恒定横摆思想的背景下考虑非最小耦合膨胀模型,该模型由一阶形式主义进行了研究。我们试图通过李对称方法找到模型背后的隐藏对称。我们通过使用Heun函数的对称特征而不是Killing向量方法来实现这一目标。我们表明,在幂律和指数耦合的情况下,非最小恒定侧倾充气的隐藏对称性被表征为s2个[Rsü1个1个 代数

更新日期:2021-05-06
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