Supergravity with mimetic dark matter

We formulate a supersymmetric version of gravity with mimetic dark matter. The coupling of a constrained chiral multiplet to N = 1 supergravity is made locally supersymmetric using the rules of tensor calculus. The chiral multiplet is constrained with a Lagrange multipliermultiplet that could be either a chiral multiplet or a linear multiplet. We obtain the fully supersymmetric Lagrangians in both cases. It is then shown that the system consisting of the supergravity multiplet, the chiralmultiplet and the Lagrange multiplier multiplet can break supersymmetry spontaneously leading to amodel of a graviton, massive gravitino and two scalar fields representing mimetic dark matter. The combination of the chiral multiplet and Lagrange multiplier multiplet can act as the hidden sector breaking local N = 1 supersymmetry.

Automated summary

In this study, a supersymmetric version of gravity with mimetic dark matter was formulated, where a constrained chiral multiplet is coupled to N = 1 supergravity using tensor calculus rules. It was demonstrated that the system can spontaneously break supersymmetry, resulting in a model with a graviton, massive gravitino, and two scalar fields representing mimetic dark matter. The combination of the chiral multiplet and Lagrange multiplier multiplet was shown to act as the hidden sector breaking local N = 1 supersymmetry.