Kaluza-Klein reduction on a maximally non-Riemannian space is moduli-free

Abstract

We propose a novel Kaluza-Klein scheme which assumes the internal space to be maximally non-Riemannian, meaning that no Riemannian metric can be defined for any subspace. Its description is only possible through Double Field Theory but not within supergravity. We spell out the corresponding Scherk-Schwarz twistable Kaluza--Klein ansatz, and point out that the internal space prevents rigidly any graviscalar moduli. Plugging the same ansatz into higher-dimensional pure Double Field Theory and also to a known doubled-yet-gauged string action, we recover heterotic supergravity as well as heterotic worldsheet action. In this way, we show that 1) supergravity and Yang-Mills theory can be unified into higher-dimensional pure Double Field Theory, free of moduli, and 2) heterotic string theory may have a higher-dimensional non-Riemannian origin.

arXiv commentv1) 5 pages v2) minor change, 6 pages. To be published in Physics Letters B

References in corpus (30)

• de Sitter Vacua in String Theory
• Double Field Theory
• Generalized metric formulation of double field theory
• Superspace Duality in Low-Energy Superstrings
• Noncompact Symmetries in String Theory
• Two-Vierbein Formalism for String-Inspired Axionic Gravity
• De Sitter Space and the Swampland
• Doubled Geometry and T-Folds
• Non-Relativistic Closed String Theory
• Twisting Classical Solutions in Heterotic String Theory
• Double Field Theory and N=4 Gauged Supergravity
• Differential geometry with a projection: Application to double field theory
• Stringy differential geometry, beyond Riemann
• Generalized Duality in Curved String-Backgrounds
• Duality orbits of non-geometric fluxes
• Supersymmetric Double Field Theory: Stringy Reformulation of Supergravity
• Introducing Cadabra: a symbolic computer algebra system for field theory problems
• Covariant action for a string in doubled yet gauged spacetime
• Stringy Unification of Type IIA and IIB Supergravities under N=2 D=10 Supersymmetric Double Field Theory
• Generalised geometry for string corrections
• Heterotic Effective Action and Duality Symmetries Revisited
• Heterotic $\alpha$'-corrections in Double Field Theory
• Supersymmetry for Gauged Double Field Theory and Generalised Scherk-Schwarz Reductions
• Double field formulation of Yang-Mills theory
• Einstein Double Field Equations
• Quadratic ${\alpha }^{\prime }$-Corrections to Heterotic Double Field Theory
• The Exceptional Sigma Model
• Leibniz-Chern-Simons Theory and Phases of Exceptional Field Theory
• Standard Model as a Double Field Theory
• Type II strings are Exceptional

Cited by in corpus (21)

• Quintessence Saves Higgs Instability
• The Geometry, Branes and Applications of Exceptional Field Theory
• Heterotic Kerr-Schild Double Field Theory and Classical Double Copy
• Type II DFT solutions from Poisson-Lie T-duality/plurality
• Remarks on the non-Riemannian sector in Double Field Theory
• Non-Riemannian geometry of M-theory
• String Theory and non-Riemannian Geometry
• Non-Riemannian isometries from double field theory
• $\mathbf{O}(D,D)$ completion of the Friedmann equations
• Non-abelian U-duality at work
• Fractons, non-Riemannian Geometry, and Double Field Theory
• Stringy Newton Gravity with $H$-flux
• Double Field Theory and Geometric Quantisation
• $\mathbf{O}(D,D)$ completion of the Einstein Field Equations
• Perturbations in $\mathbf{O}(D,D)$ string cosmology from double field theory
• Late-time Cosmology without Dark Sector but with Closed String Massless Sector
• Reductions of Exceptional Field Theories
• The puzzle of global Double Field Theory: open problems and the case for a Higher Kaluza-Klein perspective
• Gravitational Core of Double Field Theory: Lecture Notes
• Exotic Aspects of Extended Field Theories
• Extended Field Theories as higher Kaluza-Klein theories