From Exceptional Field Theory to Heterotic Double Field Theory via K3

Abstract

In this paper we show how to obtain the heterotic double field theory from exceptional field theory by breaking half of the supersymmetry. We focus on the $\mathrm{SL}(5)$ exceptional field theory and show that when the extended space contains a generalised $\mathrm{SU}(2)$-structure manifold one can define a reduction to obtain the heterotic $\mathrm{SO}(3,n)$ double field theory. In this picture, the reduction on the $\mathrm{SU}(2)$-structure breaks half of the supersymmetry of the exceptional field theory and the gauge group of the heterotic double field theory is given by the embedding tensor of the reduction used. Finally, we study the example of a consistent truncation of M-theory on K3 and recover the duality with the heterotic string on $T^3$. This suggests that the extended space can be made sense of even in the case of non-toroidal compactifications.

23 pages; v2: minor changes, published version

References in corpus (12)

• Double Field Theory
• Generalised Geometry for M-Theory
• Doubled Geometry and T-Folds
• The gauge algebra of double field theory and Courant brackets
• Generalized Geometry and M theory
• Duality and Dilaton
• Gauged Double Field Theory
• Duality orbits of non-geometric fluxes
• Double Field Theory Formulation of Heterotic Strings
• Exceptional field theory: $SO(5,5)$
• Kac-Moody Spectrum of (Half-)Maximal Supergravities
• Non-geometric branes are DFT monopoles

Cited by in corpus (15)

• The Odd story of ${\alpha }^{\prime }$-corrections
• Half-maximal supersymmetry from exceptional field theory
• The Geometry, Branes and Applications of Exceptional Field Theory
• Generalised Scherk-Schwarz reductions from gauged supergravity
• 7-dimensional $\mathcal{N}=2$ Consistent Truncations using $\mathrm{SL}(5)$ Exceptional Field Theory
• Double Field Theory at SL(2) angles
• Locally non-geometric fluxes and missing momenta in M-theory
• Five-branes wrapped on topological disks from 7D N=2 gauged supergravity
• Particle actions and brane tensions from double and exceptional geometry
• O-folds: Orientifolds and Orbifolds in Exceptional Field Theory
• Double Field Theory description of Heterotic gauge symmetry enhancing-breaking
• Holographic RG flows and symplectic deformations of N=4 gauged supergravity
• New supersymmetric Janus solutions from N=4 gauged supergravity
• Symmetry enhancement interpolation, non-commutativity and Double Field Theory
• Reductions of Exceptional Field Theories