O(d+1,d+1) enhanced double field theory

Abstract

Double field theory yields a formulation of the low-energy effective action of bosonic string theory and half-maximal supergravities that is covariant under the T-duality group O$(d,d)$ emerging on a torus $T^d$. Upon reduction to three spacetime dimensions and dualisation of vector fields into scalars, the symmetry group is enhanced to O$(d+1,d+1)$. We construct an enhanced double field theory with internal coordinates in the adjoint representation of O$(d+1,d+1)$. Its section constraints admit two inequivalent solutions, encoding in particular the embedding of $D=6$ chiral and non-chiral theories, respectively. As an application we define consistent generalized Scherk-Schwarz reductions using a novel notion of generalized parallelization. This allows us to prove the consistency of the truncations of $D=6$, $\mathcal{N}=(1,1)$ and $D=6$, $\mathcal{N}=(2,0)$ supergravity on AdS${}_3\times {\mathbb{S}}^3$.

33 pages plus Appendix

References in corpus (10)

• Double Field Theory
• Exceptional Field Theory III: E${}_{8(8)}$
• Consistent Kaluza-Klein Truncations via Exceptional Field Theory
• Duality orbits of non-geometric fluxes
• Gauged N=4 supergravities
• Double Field Theory Formulation of Heterotic Strings
• Supersymmetric E${}_{7(7)}$ Exceptional Field Theory
• Supergravities without an Action: Gauging the Trombone
• E${}_{8(8)}$ Exceptional Field Theory: Geometry, Fermions and Supersymmetry
• Exotic Dual of Type II Double Field Theory

Cited by in corpus (1)

• Generalised diffeomorphisms for E${}_9$