**2018-04-11 - Colloque/Présentation - poster**- Anglais - 1 page(s)

Traina Lucas , "Uniqueness of N = 2 and 3 pure supergravities in 4D" in BPS General Scientific Meeting 2018, Anvers, Belgique, 2018

**Codes CREF :**Physique théorique et mathématique (DI1210), Mécanique quantique classique et relativiste (DI1211), Gravitation (DI1216), Théorie quantique des champs (DI1215)**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) For a long time, Einstein’s relativistic theory of gravitation, which rests on the principle of covariance, together with quantum field theory that is based on the rules of quantum mechanics and the principles of special relativity and gauge symmetry, are well known and individually give very accurate results when compared with experiments in their respective areas. These principles and the laws of quantum mechanics thus provide a solid framework in which modern physics is rooted. This being stressed, we are still searching for a consistent model that would describe gravity at the quantum level, i.e. that would reconcile Einstein’s general relativity and quantum mechanics. The most attractive one is probably string theory but phenomenological informations are hard to extract due to the complexity of the theory, which is supposed to be valid at high energy. More workable theories which are known to be the low-energy description of certain string theories are extended supergravity theories. More precisely, they are theories of gravitation which possess the supersymmetry, a symmetry relating the bosons and the fermions (particles with respectively integer and half-integer value of the spin) of the theory. When a supergravity theory is said to be “extended”, it means that the number of supersymmetries, usually denoted by N, is larger than one. In this poster we are exposing results on the classification of extended supergravity theories in 4 spacetime dimensions. This classification was initiated in [1], where they proved the uniqueness of the N=1 theory with or without a (negative) cosmological constant. Our work [2] concerns the continuation of this classification by the study of the N=2 and N=3 cases. Our analysis (as well as the one done in [1]) follows a deformation procedure in the so-called field-antifield formalism of Batalin and Vilkovisky in order to construct exhaustively the supergravity theories. References: 1. N. Boulanger and M. Esole, “A Note on the uniqueness of D=4, N=1 supergravity,” Class.Quant.Grav. 19 (2002) 2107-2124. 2. N. Boulanger, B. Julia and L. Traina, “Uniqueness of N=2 and 3 pure supergravities in 4D,” arXiv: 1802.02966 [hep-th].