Supergravity with mimetic dark matter

TL;DR

This paper develops a supersymmetric framework for gravity with mimetic dark matter, incorporating constrained multiplets to produce a model with spontaneous supersymmetry breaking and mimetic dark matter components.

Contribution

It introduces a supersymmetric formulation of mimetic dark matter coupled to supergravity using constrained multiplets, providing a new theoretical model.

Findings

Achieved fully supersymmetric Lagrangians for the system

Demonstrated spontaneous supersymmetry breaking leading to massive gravitino

Produced a model with graviton, massive gravitino, and mimetic dark matter fields

Abstract

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 multiplier multiplet 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 chiral multiplet and the Lagrange multiplier multiplet can break supersymmetry spontaneously leading to a model 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.