Massless geodesics in AdS 5 × Y (p, q) as a superintegrable system
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 mot...
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paper:paper_11266708_v2012_n9_p_DeCelis2023-06-08T16:08:20Z Massless geodesics in AdS 5 × Y (p, q) as a superintegrable system Santillán, Osvaldo Pablo Differential and algebraic geometry Integrable equations in physics 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 × Y (p,q) studied by Benvenuti and Kruczenski [86], which are matched to long BPS operators in the dual N=1 supersymmetric gauge theory. © SISSA 2012. Fil:Santillán, O.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2012 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2012_n9_p_DeCelis http://hdl.handle.net/20.500.12110/paper_11266708_v2012_n9_p_DeCelis |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Differential and algebraic geometry Integrable equations in physics Space-time symmetries |
| spellingShingle |
Differential and algebraic geometry Integrable equations in physics Space-time symmetries Santillán, Osvaldo Pablo Massless geodesics in AdS 5 × Y (p, q) as a superintegrable system |
| topic_facet |
Differential and algebraic geometry Integrable equations in physics Space-time symmetries |
| description |
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 × Y (p,q) studied by Benvenuti and Kruczenski [86], which are matched to long BPS operators in the dual N=1 supersymmetric gauge theory. © SISSA 2012. |
| author |
Santillán, Osvaldo Pablo |
| author_facet |
Santillán, Osvaldo Pablo |
| author_sort |
Santillán, Osvaldo Pablo |
| title |
Massless geodesics in AdS 5 × Y (p, q) as a superintegrable system |
| title_short |
Massless geodesics in AdS 5 × Y (p, q) as a superintegrable system |
| title_full |
Massless geodesics in AdS 5 × Y (p, q) as a superintegrable system |
| title_fullStr |
Massless geodesics in AdS 5 × Y (p, q) as a superintegrable system |
| title_full_unstemmed |
Massless geodesics in AdS 5 × Y (p, q) as a superintegrable system |
| title_sort |
massless geodesics in ads 5 × y (p, q) as a superintegrable system |
| publishDate |
2012 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2012_n9_p_DeCelis http://hdl.handle.net/20.500.12110/paper_11266708_v2012_n9_p_DeCelis |
| work_keys_str_mv |
AT santillanosvaldopablo masslessgeodesicsinads5ypqasasuperintegrablesystem |
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1768545296145448960 |