Hodge duality and supergravity

Risultato della ricerca: Contributo su rivistaArticolo in rivistapeer review

Abstract

The Hodge dual operator, recently introduced for supermanifolds, is used to reformulate super Yang-Mills and supergravity in d=4. We first recall the definition of the Hodge dual operator for flat and curved supermanifolds. Then we show how to recover the usual super-Yang-Mills equations of motion for N=1,2 supersymmetry, and the obstacles (as seen from the Hodge dual point of view) in the case N≥3. We reconsider several ingredients of supergeometry, relevant for a superspace formulation of supergravity, in terms of the Hodge dual operator. Finally we discuss how d=4 and N=1 supergravity is obtained in this framework.

Lingua originaleInglese
Numero di articolo046018
RivistaPhysical Review D
Volume108
Numero di pubblicazione4
DOI
Stato di pubblicazionePubblicato - 15 ago 2023

Fingerprint

Entra nei temi di ricerca di 'Hodge duality and supergravity'. Insieme formano una fingerprint unica.

Cita questo