Institut de Physique Théorique
Direction de la Recherche Fondamentale  -  Saclay
UMR 3681 - INP
encart droite
Encart de droite, peut être utilisé à des fins diverses. Actuellement caché via les CSS.
Dimanche 28 mai 2017

Publication : t17/079

 / 
 / 
 

M-theoretic Lichnerowicz formula

coimbra (IHES, F-91440 Bures-sur-Yvette, FRANCE)
Minasian R. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
Abstract:
A suitable generalisation of the Lichnerowicz formula can relate the squares of supersymmetric operators to the effective action, Bianchi identities for fluxes, and some of the equations of motion and underline the (generalised) geometry of supersymmetric theories. In this paper, we derive an M-theoretic Lichnerowicz formula that describes eleven-dimensional supergravity together with its higher-derivative corrections. The first corrections to the action appear at eight-derivative level, and the construction yields two different supersymmetric invariants, each with a free coefficient. We discuss the restriction of our construction to seven-dimensional internal spaces, and implications for compactifications on manifolds of $G_2$ holonomy. Inclusion of fluxes and computation of contributions with higher than eight derivatives are also discussed.
Année de publication : 2017
Langue : Anglais


Retour en haut