2016/03/31 by Eric A. Bergshoeff, Olaf Hohm, Victor A. Penas +1 · 4 citations
Physics and Astronomy · #Antisymmetric relation #Antisymmetric tensor #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Covariant transformation #Dual (grammatical number) #Dual polyhedron #Field (mathematics) #Field theory (psychology) #Graviton #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1007/jhep06(2016)026
38 pages, v2: refs. added, to appear in JHEP
openalex publication_date 2016/06/01 · arxiv created 2016/06/02 · openalex created_date 2016/06/24 · arxiv updated 2016/06/29 · openalex updated_date 2026/08/05
We present the dual formulation of double field theory at the linearized level. This is a classically equivalent theory describing the duals of the dilaton, the Kalb-Ramond field and the graviton in a T-duality or O(D, D) covariant way. In agreement with previous proposals, the resulting theory encodes fields in mixed Young-tableau representations, combining them into an antisymmetric 4-tensor under O(D, D). In contrast to previous proposals, the theory also requires an antisymmetric 2-tensor and a singlet, which are not all pure gauge. The need for these additional fields is analogous to a similar phenomenon for “exotic” dualizations, and we clarify this by comparing with the dualizations of the component fields. We close with some speculative remarks on the significance of these observations for the full non-linear theory yet to be constructed.