Non-Riemannian isometries from double field theory
| Autor: | Blair, Chris D. A., Oling, Gerben, Park, Jeong-Hyuck |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | JHEP 04 (2021) 072 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP04(2021)072 |
| Popis: | 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. Comment: 31+5 pages, v2: minor changes |
| Databáze: | arXiv |
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