Massless geodesics in AdS5 × Y (p, q) as a superintegrable system

A bstract A constant of motion of Carter type for a probe particle in the Y ( p, q ) EinsteinSasaki 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 const...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2012; no. 9
Main Authors de Celis, Emilio Rubín, Santillán, Osvaldo P.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 12.09.2012
Springer Nature B.V
Subjects
Classical and Quantum Gravitation
Elementary Particles
Gauge theory
Geodesy
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
Integrable Equations in Physics
Differential and Algebraic Geometry
Space-Time Symmetries
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Summary:A bstract A constant of motion of Carter type for a probe particle in the Y ( p, q ) EinsteinSasaki 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  ×  Y ( p, q ) studied by Benvenuti and Kruczenski [86], which are matched to long BPS operators in the dual N = 1 supersymmetric gauge theory.
ISSN:1029-8479
DOI:10.1007/JHEP09(2012)032