Abstract
We explore perturbative double field theory about time-dependent (cosmological) backgrounds to cubic order. To this order the theory is consistent in a weakly constrained sense, so that for a toroidal geometry it encodes both momentum and genuine winding modes. We give a self-contained discussion of the consistency problems and their resolution, including the role of cocycle factors and the O(d, d, ℤ) duality. Finally, as a first step toward the computation of cosmological correlation functions, we propose a generalized scalar-vector-tensor decomposition and use it to construct gauge invariant generalized Bardeen variables. Compared to standard cosmology there are fewer tensor modes but more vector and scalar modes.
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Acknowledgments
We are grateful to Heliudson Bernardo, Roberto Bonezzi, Robert Brandenberger, Christoph Chiaffrino, Chris Hull, Matt Kleban, Jean-Luc Lehners and Barton Zwiebach for useful discussions, correspondence and related collaborations.
This work is funded by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 771862) and by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation), “Rethinking Quantum Field Theory”, Projektnummer 417533893/GRK2575.
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Hohm, O., Pinto, A.F. Cosmological Perturbations in Double Field Theory. J. High Energ. Phys. 2023, 73 (2023). https://doi.org/10.1007/JHEP04(2023)073
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DOI: https://doi.org/10.1007/JHEP04(2023)073