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Автор Geoffrey Compère
Автор Sophie de Buyl
Автор Stéphane Detournay
Автор Kentaroh Yoshida
Дата выпуска 2009-10-01
dc.description We discuss the asymptotic symmetry algebra of the Schrödinger -invariant metrics in d+3 dimensions and its realization on finite temperature solutions of gravity coupled to matter fields. These solutions have been proposed as gravity backgrounds dual to non-relativistic CFTs with critical exponent z in d space dimensions. It is known that the Schrödinger algebra possesses an infinite-dimensional extension, the Schrödinger-Virasoro algebra. However, we show that the asymptotic symmetry algebra of Schrödinger spacetimes is only isomorphic to the exact symmetry group of the background. It is possible to construct from first principles finite and integrable charges that infinite-dimensionally extend the Schrödinger algebra but these charges are not correctly represented via a Dirac bracket. We briefly comment on the extension of our analysis to spacetimes with Lifshitz symmetry.
Формат application.pdf
Издатель Institute of Physics Publishing
Название Asymptotic symmetries of Schrödinger spacetimes
Тип paper
DOI 10.1088/1126-6708/2009/10/032
Electronic ISSN 1029- 8479
Print ISSN 1126-6708
Журнал Journal of High Energy Physics
Том 2009
Первая страница 32
Последняя страница 032
Выпуск 10

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