Non-Riemannian isometries from double field theory
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Publication:2032503
DOI10.1007/JHEP04(2021)072zbMATH Open1462.83066arXiv2012.07766WikidataQ115390712 ScholiaQ115390712MaRDI QIDQ2032503
Author name not available (Why is that?)
Publication date: 11 June 2021
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/2012.07766
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