Abstract
We study the O(D, D + n) generalized metric and the gauge symmetries in the gauged double field theory (DFT) in view of current algebras and sigma models. We show that the O(D, D + n) generalized metric in the gauged DFT is consistent with the heterotic sigma models at the leading order in the α′-corrections. We then study the non-Abelian gauge symmetries and current algebras of heterotic string theories. We show that the algebras exhibit the correct diffeomorphism, the B-field gauge transformations of the background fields together with the non-Abelian gauge transformations possibly with the appropriate local Lorentz transformations.
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Acknowledgments
We are grateful to Yuho Sakatani for informing us of helpful references on DFT of heterotic string theories. This work is supported in part by Grant-in-Aid for Scientific Research (C), JSPS KAKENHI Grant Numbers JP22K03603 (M.H. and M.Y.), JP20K03604 (M.H.) and JP20K03952 (S.S.). The work of H.M. is supported by Grant-in-Aid for JSPS Research Fellow, JSPS KAKENHI Grant Numbers JP22J14419 and JP22KJ2651.
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Hatsuda, M., Mori, H., Sasaki, S. et al. Gauged double field theory, current algebras and heterotic sigma models. J. High Energ. Phys. 2023, 220 (2023). https://doi.org/10.1007/JHEP05(2023)220
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DOI: https://doi.org/10.1007/JHEP05(2023)220