标题： 渐近戈德尔时空的中心扩张对称代数 显示英文标题

标题： Centrally extended symmetry algebra of asymptotically Goedel spacetimes

摘要： 我们定义了三维Goedel时空的渐近对称代数，该时空由规范场支持，结果发现它是圆上微分同胚的半直和与两个环面代数的半直和。 找到一类场，它们允许这种渐近对称代数，并导致定义良好的守恒荷。随后证明了守恒荷的协变泊松括号在半直和下被中心扩张为一个 Virasoro代数和两个仿射代数。 显示英文摘要

摘要： We define an asymptotic symmetry algebra for three-dimensional Goedel spacetimes supported by a gauge field which turns out to be the semi-direct sum of the diffeomorphisms on the circle with two loop algebras. A class of fields admitting this asymptotic symmetry algebra and leading to well-defined conserved charges is found. The covariant Poisson bracket of the conserved charges is then shown to be centrally extended to the semi-direct sum of a Virasoro algebra and two affine algebras.