https://doi.org/10.1140/epjc/s10052-018-6502-9
Regular Article - Theoretical Physics
On non-Abelian T-duality for non-semisimple groups
1
Department of Physics, Postech, Pohang, 37673, Korea
2
Asia Pacific Center for Theoretical Physics, Postech, Pohang, 37673, Korea
* e-mail: ocolgain@gmail.com
Received:
17
September
2018
Accepted:
10
December
2018
Published online:
19
December
2018
We revisit non-Abelian T-duality for non-semisimple groups, where it is well-known that a mixed gravitational-gauge anomaly leads to 
-models that are scale, but not Weyl-invariant. Taking into account the variation of a non-local anomalous term in the T-dual -model of Elitzer, Giveon, Rabinovici, Schwimmer and Veneziano, we show that the equations of motion of generalized supergravity follow from the -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.
© The Author(s), 2018
