<p>In this paper, we provide an algorithm to perform the uplift of non-maximal <i>G</i><sub><i>g</i></sub>-gauged supergravities to type IIB or 11D supergravities. Using tools of exceptional field theory and generalised geometry, we show that the internal manifold admits a <i>G</i><sub><i>g</i></sub>-action, and that consistency of the uplift is equivalent to solving a simpler PDE on the quotient <i>M</i><sub>int</sub>/<i>G</i><sub><i>g</i></sub>. As an application, we classify all possible uplifts of pure half-maximal four-dimensional SO(4)-gauged supergravity to type IIB and we recover consistent truncations around any of the D’Hoker-Estes-Gutperle solutions [<i>JHEP</i> <b>06</b> (2007) 022].</p>

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How to uplift non-maximal gauged supergravities

  • Davide Rovere,
  • Colin Sterckx

摘要

In this paper, we provide an algorithm to perform the uplift of non-maximal Gg-gauged supergravities to type IIB or 11D supergravities. Using tools of exceptional field theory and generalised geometry, we show that the internal manifold admits a Gg-action, and that consistency of the uplift is equivalent to solving a simpler PDE on the quotient Mint/Gg. As an application, we classify all possible uplifts of pure half-maximal four-dimensional SO(4)-gauged supergravity to type IIB and we recover consistent truncations around any of the D’Hoker-Estes-Gutperle solutions [JHEP 06 (2007) 022].