Classification of non-Riemannian doubled-yet-gauged spacetime

dc.contributor.authorMorand, K.
dc.contributor.authorPark, J.-H.
dc.date.accessioned2019-12-13T20:01:40Z
dc.date.available2019-12-13T20:01:40Z
dc.date.issued2017-10
dc.descriptionIndexación: Scopus.es
dc.description.abstractAssuming O(D, D) covariant fields as the ‘fundamental’ variables, double field theory can accommodate novel geometries where a Riemannian metric cannot be defined, even locally. Here we present a complete classification of such non-Riemannian spacetimes in terms of two non-negative integers, (n, n¯) , 0 ≤ n+ n¯ ≤ D. Upon these backgrounds, strings become chiral and anti-chiral over n and n¯ directions, respectively, while particles and strings are frozen over the n+ n¯ directions. In particular, we identify (0, 0) as Riemannian manifolds, (1, 0) as non-relativistic spacetime, (1, 1) as Gomis–Ooguri non-relativistic string, (D- 1 , 0) as ultra-relativistic Carroll geometry, and (D, 0) as Siegel’s chiral string. Combined with a covariant Kaluza–Klein ansatz which we further spell, (0, 1) leads to Newton–Cartan gravity. Alternative to the conventional string compactifications on small manifolds, non-Riemannian spacetime such as D= 10 , (3, 3) may open a new scheme for the dimensional reduction from ten to four. © 2017, The Author(s).es
dc.description.urihttps://link.springer.com/article/10.1140%2Fepjc%2Fs10052-017-5257-z
dc.description.urihttps://link.springer.com/article/10.1140%2Fepjc%2Fs10052-018-6394-8
dc.identifier.citationEuropean Physical Journal C, 77(10), art. no. 685.es
dc.identifier.issn1434-6044
dc.identifier.otherDOI: 10.1140/epjc/s10052-017-5257-z
dc.identifier.urihttp://repositorio.unab.cl/xmlui/handle/ria/11480
dc.language.isoenes
dc.publisherSpringer New York LLCes
dc.titleClassification of non-Riemannian doubled-yet-gauged spacetimees
dc.typeArtículoes
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