Classification of non-Riemannian doubled-yet-gauged spacetime
Loading...
Date
2017-10
Authors
Profesor/a GuÃa
Facultad/escuela
Idioma
en
Journal Title
Journal ISSN
Volume Title
Publisher
Springer New York LLC
Nombre de Curso
item.page.dc.rights
item.page.dc.rights
Abstract
Assuming 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).
item.page.dc.description
Indexación: Scopus.
Keywords
Citation
European Physical Journal C, 77(10), art. no. 685.