On non-Abelian T-duality for non-semisimple groups
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...
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Published in | The European physical journal. C, Particles and fields Vol. 78; no. 12; pp. 1 - 12 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.12.2018
Springer Springer Nature B.V SpringerOpen |
Subjects | |
Online Access | Get full text |
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Summary: | 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 and 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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ISSN: | 1434-6044 1434-6052 |
DOI: | 10.1140/epjc/s10052-018-6502-9 |