Examinando por Autor "Park, J.-H."

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    Classification of non-Riemannian doubled-yet-gauged spacetime
    (Springer New York LLC, 2017-10) Morand, K.; Park, J.-H.
    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).