Abstract
We study the T-dualisability criteria of Chatzistavrakidis, Deser and Jonke [3] who recently used Lie algebroid gauge theories to obtain sigma models exhibiting a “Tduality without isometry”. We point out that those T-dualisability criteria are not written invariantly in [3] and depend on the choice of the algebroid framing. We then show that there always exists an isometric framing for which the Lie algebroid gauging boils down to standard Yang-Mills gauging. The “T-duality without isometry” of [3] is therefore nothing but traditional isometric non-Abelian T-duality in disguise.
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ArXiv ePrint: 1705.09254
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Bouwknegt, P., Bugden, M., Klimčík, C. et al. Hidden isometry of “T-duality without isometry”. J. High Energ. Phys. 2017, 116 (2017). https://doi.org/10.1007/JHEP08(2017)116
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DOI: https://doi.org/10.1007/JHEP08(2017)116