2-6 December 2019
Centro Cultural, Universidad del Atlántico
America/Bogota timezone

Spontaneous Breaking and Flat directions in Supersymmetry

2 Dec 2019, 16:30
Teatrino 1 (Centro Cultural, Universidad del Atlántico)

Teatrino 1

Centro Cultural, Universidad del Atlántico

Universidad del Atlántico Carrera 30 No. 8-49 Puerto Colombia, Atlántico


Diana Garcia Sandoval (Universidad Nacional de Colombia)


In order to reproduce the CMB density fluctuations, inflationary models require an inflaton scalar field $\phi$ such that the potential is sufficiently flat near $\phi=0$, and acquires a large curvature around the minimum. In supersymmetric models these flat directions appear naturally in the superpotentials, finding conditions on the fields so the $F$ and $D$ terms are zero. On the other hand, when supersymmetry is spontaneously broken, these directions gain a large enough curvature to produce the field oscillations required in the inflationary scenario. The supersymmetric formalism is constructed from a Super-poincaré symmetry group composed by a Poincaré Subgroup and a fermionic symmetry subgroup, and it's algebra is given by Coleman-Mandula and Haag-Lopuszanski Sohnius theorems. The representations on fields are obtained through the coset Super-Poincaré/Lorentz and the Lagrangians for scalar and vector fields can be constructed. Hereinafter, conditions for spontaneous breaking of Supersymmetry in the Wess-Zumino, O'Raifertaigh and Fayet-Illiopoulos models are analyzed in order to obtain the mass-spectra of the fields involved. Finally, two simple superpotentials for the inflaton are showed to fulfill asymptotic behaviour that could give rise to inflation.

Primary authors

Diana Garcia Sandoval (Universidad Nacional de Colombia) Roberto Martinez (Universidad Nacional de Colombia)

Presentation Materials