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arXiv 1508.03340hep-thgr-qc
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引力起源的充满空间的膜

Space-filling branes of gravitational ancestry

Claudio Bunster, Alfredo Perez

摘要:

我们引入了一种新的空间填充膜,我们称之为“G-膜”,因为它的作用是引力作用的后代。G-膜可以看作是除去传播的引力子后的引力场的反射。G-膜不同于狄拉克或Nambu空间填充膜。它的性质在任何时空维D展示。当时空维度D大于或等于3时,G-膜不具有传播自由度,就像狄拉克膜或南布膜一样。当D=3时,G-膜给出了引力理论的一个新的表述,其中哈密顿约束可以显式求解,同时保持时空结构的明显性。当D=2时,G-膜提供了共形代数的一种实现,即一种共形场论,用两个标量场及其共轭表示,它具有一个经典的中心荷。在(2+1)引力的G-膜重构中,渐近反德西特空间中的引力场的边界自由度表现为与边界上的(1+1)G-膜耦合的“物质”。

英文摘要:

We introduce a new kind of space-filling brane, which we term "G-brane" because its action is a descendant of the gravitational action. The G-brane may be thought of as the remanent of the gravitational field when the propagating gravitons are removed. The G-brane is different from the Dirac or Nambu space-filling branes. Its properties in any spacetime dimension D are exhibited. When the spacetime dimension D is greater than or equal to three, the G-brane does not possess propagating degrees of freedom, just as the Dirac or Nambu branes. For D=3 the G-brane yields a reformulation of gravitation theory in which the Hamiltonian constraints can be solved explicitly, while keeping the spacetime structure manifest. For D=2 the G-brane provides a realization of the conformal algebra, i.e. a conformal field theory, in terms of two scalar fields and their conjugates, which possesses a classical central charge. In the G-brane reformulation of (2+1) gravity, the boundary degrees of freedom of the gravitational field in asymptotically anti-de Sitter space appear as "matter" coupled to the (1+1) G-brane on the boundary.

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