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, \( \mathcal{N}=\left(1,1\right) \) and D = 6, \( \mathcal{N}=\left(2,0\right) \) supergravity on \( {\mathrm{AdS}}_3\times {\mathbb{S}}^3 \).
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ArXiv ePrint: 1707.06693
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Hohm, O., Musaev, E.T. & Samtleben, H. O(d+1, d+1) enhanced double field theory. J. High Energ. Phys. 2017, 86 (2017). https://doi.org/10.1007/JHEP10(2017)086
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DOI: https://doi.org/10.1007/JHEP10(2017)086