Geometric Flow Equations for the Number of Space-Time Dimensions

De Biasio, Davide; Freigang, Julian und Lüst, Dieter (2021): Geometric Flow Equations for the Number of Space-Time Dimensions. In: Fortschritte der Physik-Progress of Physics, Bd. 70, Nr. 1, 2100171

Abstract

In this paper we consider new geometric flow equations, called D-flow, which describe the variation of space-time geometries under the change of the number of dimensions. The D-flow is originating from the non-trivial dependence of the volume of space-time manifolds on the number of space-time dimensions and it is driven by certain curvature invariants. We will work out specific examples of D-flow equations and their solutions for the case of D-dimensional spheres and Freund-Rubin compactified space-time manifolds. The discussion of the paper is motivated from recent swampland considerations, where the number D of space-time dimensions is treated as a new swampland parameter.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Physik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 530 Physik
• ISSN: 0015-8208
• Sprache: Englisch