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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Bibliographic Details
Published inThe European physical journal. C, Particles and fields Vol. 78; no. 12; pp. 1 - 12
Main Authors Hong, Moonju, Kim, Yoonsoo, Ó Colgáin, Eoin
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2018
Springer
Springer Nature B.V
SpringerOpen
Subjects
Astronomy
Astrophysics and Cosmology
Elementary Particles
Equations of motion
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
String Theory
Supergravity
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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.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-018-6502-9