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Exploring double field theory

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Abstract

We consider a flux formulation of Double Field Theory in which fluxes are dynamical and field-dependent. Gauge consistency imposes a set of quadratic constraints on the dynamical fluxes, which can be solved by truly double configurations. The constraints are related to generalized Bianchi Identities for (non-)geometric fluxes in the double space, sourced by (exotic) branes. Following previous constructions, we then obtain generalized connections, torsion and curvatures compatible with the consistency conditions. The strong constraint-violating terms needed to make contact with gauged supergravities containing duality orbits of non-geometric fluxes, systematically arise in this formulation.

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Geissbühler, D., Marqués, D., Núñez, C. et al. Exploring double field theory. J. High Energ. Phys. 2013, 101 (2013). https://doi.org/10.1007/JHEP06(2013)101

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