Description du projet
Étude des symétries de spin supérieur
La gravité de spin supérieur fait référence aux théories des champs qui contiennent des champs sans masse de spin supérieur à deux. Financé par le programme Actions Marie Skłodowska-Curie, le projet HSQG adaptera la procédure de Noether pour étudier les conditions nécessaires à la construction d’une action pour la gravité à spin supérieur (pour les dimensions trois, quatre et cinq) ainsi que le spectre autorisé, les propriétés situationnelles et le rôle des dimensions spéciales. Le projet mettra également en lumière le rôle de la constante cosmologique et des structures affichant une parité impaire dans ces théories.
Objectif
The research proposed here is principally aimed at deriving action for higher-spin (HS) gravity theories, to quartic order in fields, mainly focused in dimensions three, four and five, by using Noether method, adapted to HS systems. We will find out what are the conditions for the action for HS gravity to exist and what spectrum is allowed, what are the locality properties of such theories and what is the role of special dimensions. We will further explicate the role of the cosmological constant and parity odd structures in such theories. In particular, we will study the zoo of five dimensional HS algebras and their role in formulations of different HS gravity theories in five and lower dimensions. The result of this research will be the answer to long-standing questions of existence and uniqueness of action formulation for field theories with massless HS spectrum. The obtained information will have wide applications in Quantum Gravity. In particular, the knowledge of the action to quartic order in fields will allow us to compute the one-loop mass renormalization of HS fields and compare to known results in the conjectured dual CFT, thus providing a non-trivial check for the AdS/CFT conjecture.
Champ scientifique
Mots‑clés
Programme(s)
Régime de financement
MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF)Coordinateur
SW7 2AZ LONDON
Royaume-Uni