A Systematic Approach to Consistent Truncations of Supergravity Theories

Michela Petrini (1)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

Exceptional generalised geometry is a reformulation of eleven/ten-dimensional supergravity that unifies ordinary diffeomorphisms and gauge transformations of the higher-rank potentials of the theory in an extended notion of diffeormorphisms. These features make exceptional generalised geometry a very powerful tool to study consistent truncations of eleven/ten-dimensional supergravities. In this article, we review how the notion of generalised G-structure allows us to derive consistent truncations to supergravity theories in various dimensions and with different amounts of supersymmetry. We discuss in detail the truncations of eleven-dimensional supergravity to N=4 and N=2 supergravity in five dimensions.

Mots clés: string compactifications; generalised geometry; supergravity; dimension: 5; string: compactification; transformation: gauge; dimension: 11; differential geometry; exceptional; diffeomorphism

Domaines: Physique des Hautes Energies - Théorie [hep-th]; Relativité Générale et Cosmologie Quantique [gr-qc]

Michela Petrini. A Systematic Approach to Consistent Truncations of Supergravity Theories. Universe, 2021, 7 (12), pp.485. ⟨10.3390/universe7120485⟩. ⟨hal-03531196⟩