论文标题
P形模拟重力的双重模型及其连接到由（P+1） - 勃起的完美流体的连接
Dual models for p-form mimetic gravity and their connection to perfect fluids consisting of (p+1)-branes
论文作者
论文摘要
我们提出了一种方法，该方法允许人们将$ n $二维的$ p $ - 形式模仿重力（包括通常的模仿重力（特别是尤其是案例$ p = 0 $））为非线性$（n-p-1）$ - 通过电动磁性双重动力学形成电动力学。由此产生的双拉格朗日密度只是$（N-P-1）$的普通二次lagrangian密度的平方根。通过在动作中应用场转换，我们表明，对于任意$ p $，该双重理论将转换为$（p+1）$ - brane流体：并行$（p+1）$ - 尺寸branes branes foriation foliating holyspaceTime的堆栈模型。由于现场转换的结构取决于$ p $，因此这些模型中的解决方案集的相关性不同。我们证明，对于$ p = 0 $和$ p = n-2 $双模拟模型，分别用潜在流动和$（n-1）$ - brane液体描述了通常的粒子流体。总体而言，对于其他$ p $的值，并非所有模拟解决方案都这样行事，因此我们只限于$ n = 4 $，$ p = 1 $的情况。在这种情况下，我们表明，模仿表述对于著名的尼尔森 - 著名著作“双字符串”理论是双重的，并讨论了指示其溶液是否像弦乐流体的标准。还讨论了这些模型的宇宙学解决方案。
We propose an approach that allows one to reformulate $n$-dimensional $p$-form mimetic gravity (including usual mimetic gravity as particular case $p = 0$) as nonlinear $(n-p-1)$-form electrodynamics via electric-magnetic duality. The resulting dual Lagrangian density is just the square root of the ordinary quadratic Lagrangian density of $(n-p-1)$-form electrodynamics. By applying field transformation in the action, we show that for the arbitrary $p$ this dual theory transforms into the $(p+1)$-brane fluid: the model of the stack of the parallel $(p+1)$-dimensional branes foliating physical spacetime. As the structure of the field transformations depends on $p$, the sets of solutions in these models are related differently. We prove, that for $p = 0$ and $p = n-2$ dual mimetic models describe usual particle fluid with the potential flow and to the $(n-1)$-brane fluid respectively. For other values of $p$ not all mimetic solutions behave like that, in general, so we restrict ourselves only to the case $n = 4$, $p = 1$. In this case, we show, that mimetic formulation is dual to the well-known Nielsen-Olesen theory of "dual strings" and discuss the criterion indicating whether its solutions behave like string fluid. The cosmological solutions for these models in are also discussed.
