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

Abstract

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, N = 1 1 $$ \mathcal{N}=\left(1,1\right) $$ and D = 6, N = 2 0 $$ \mathcal{N}=\left(2,0\right) $$ supergravity on AdS 3 × S 3 $$ {\mathrm{AdS}}_3\times {\mathbb{S}}^3 $$ .

Keywords

• Bosonic Strings
• M-Theory
• String Duality
• String Field Theory