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arXiv · 1801.09567

On non-Abelian T-duality for non-semisimple groups

Moonju Hong·Yoonsoo Kim·Eoin Ó Colgáin
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Abstract

We revisit non-Abelian T-duality for non-semisimple groups, where it is well-known that a mixed gravitational-gauge anomaly leads to $σ$-models that are scale, but not Weyl-invariant. Taking into account the variation of a non-local anomalous term in the T-dual $σ$-model of Elitzer, Giveon, Rabinovici, Schwimmer \& Veneziano, we show that the equations of motion of generalized supergravity follow from the $σ$-model once the Killing vector $I$ is identified with the trace of the structure constants. As a result, non-Abelian T-duals with respect to non-semisimple groups are solutions to generalized supergravity. We illustrate our findings with Bianchi spacetimes.

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Moonju Hong, Yoonsoo Kim, Eoin Ó Colgáin. 2018-03-20. On non-Abelian T-duality for non-semisimple groups. https://doi.org/10.1140/epjc%2Fs10052-018-6502-9

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