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2018-03-15 - Colloque/Présentation - communication orale - Anglais - 0 page(s)

Traina Lucas , "Uniqueness of N=2 and 3 pure supergravities in 4D" in Strings, Cosmology and Gravity Student Conference, ULB (Bruxelles), Belgique, 2018

  • Codes CREF : Physique théorique et mathématique (DI1210), Gravitation (DI1216)
  • Unités de recherche UMONS : Physique théorique et mathématique (S814), Mécanique et gravitation (S884S)
  • Instituts UMONS : Institut de Recherche sur les Systèmes Complexes (Complexys)
  • Centres UMONS : Algèbre, Géométrie et Interactions fondamentales (AGIF)

Abstract(s) :

(Anglais) After proving the impossibility of consistent non-minimal coupling of a real Rarita-Schwinger gauge field to electromagnetism, we re-derive the necessity of introducing the graviton in order to couple a complex Rarita-Schwinger gauge field to electromagnetism, with or without a cosmological term, thereby obtaining N=2 pure supergravity as the only possibility. These results are obtained with the BRST-BV deformation method around the flat and (A)dS backgrounds in 4 dimensions. The same method applied ton n_v vectors, N real spin-3/2 gauge fields and at most one real spinor field also requires gravity and yields N=3 pure supergravity as well as N=1 pure supergravity coupled to a vector supermultiplet, with or without cosmological terms. Independently of the matter content, we finally derive strong necessary quadratic constraints on the possible gaugings for anarbitrarynumber of spin-1 and spin-3/2 gauge fields, that are relevant for larger supergravities.