Non-Riemannian isometries from double field theory
- 주제(키워드) 도움말 String Duality , Space-Time Symmetries , Supersymmetry and Duality
- 발행기관 SPRINGER
- 발행년도 2021
- 총서유형 Journal
- 본문언어 영어
초록/요약 도움말
We explore the notion of isometries in non-Riemannian geometries. Such geometries include and generalise the backgrounds of non-relativistic string theory, and they can be naturally described using the formalism of double field theory. Adopting this approach, we first solve the corresponding Killing equations for constant flat non-Riemannian backgrounds and show that they admit an infinite-dimensional algebra of isometries which includes a particular type of supertranslations. These symmetries correspond to known worldsheet Noether symmetries of the Gomis-Ooguri non-relativistic string, which we now interpret as isometries of its non-Riemannian doubled background. We further consider the extension to supersymmetric double field theory and show that the corresponding Killing spinors can depend arbitrarily on the non-Riemannian directions, leading to supersupersymmetries that square to supertranslations.
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