论文标题

在双场理论中的相空间上

On the phase space in Double Field Theory

论文作者

Lescano, Eric, Mirón-Granese, Nahuel

论文摘要

我们提出了一个(双重)动力学理论的模型,该模型铺平了在双场理论背景中描述物质的方式。引入了作用于双相空间张量的广义差异。广义的协变量衍生物被广义的liouville操作员取代,因为它发生在相对论动力学理论中。截面条件始终扩展,C-bracket仍然给出了广义转换的关闭。在这种情况下,我们提出了一个广义的玻尔兹曼方程并计算后者的力矩,从而获得了广义能量量张量及其保护定律的表达。

We present a model of (double) kinetic theory which paves the way to describe matter in a Double Field Theory background. Generalized diffeomorphisms acting on double phase space tensors are introduced. The generalized covariant derivative is replaced by a generalized Liouville operator as it happens in relativistic kinetic theory. The section condition is consistently extended and the closure of the generalized transformations is still given by the C-bracket. In this context we propose a generalized Boltzmann equation and compute the moments of the latter, obtaining an expression for the generalized energy-momentum tensor and its conservation law.

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