Massless geodesics in AdS(5) x Y(p, q) as a superintegrable system

作者：Rubin de Celis Emilio; Santillan Osvaldo P

来源：The Journal of High Energy Physics, 2012, (9): 032.

DOI：10.1007/JHEP09(2012)032

• Integrable Equations in Physics
• Differential and Algebraic Geometry
• Space-Time Symmetries

A constant of motion of Carter type for a probe particle in the Y (p, q) Einstein-Sasaki backgrounds is presented. This quantity is functionally independent with respect to the five known constants for these geometries. As the metric is five dimensional and the number of independent constants of motion is at least six, the geodesic equations turn out to be superintegrable. This result applies to the configuration of massless geodesic in AdS(5) x Y (p, q) studied by Benvenuti and Kruczenski [86], which are matched to long BPS operators in the dual N=1 supersymmetric gauge theory.

• 出版日期2012-9