Abstract
The supersymmetric extension of the Lorentz violating Einstein-aether theory of gravity is considered. The most general Lagrangian of the linearized Einstein-aether supergravity is constructed using the superfield formalism. The constraints imposed by supersymmetry on the parameters of the theory are obtained.
Highlights
Incompatibility of the principles of quantum field theory with general relativity is one of the most important problems in modern theoretical physics
A potential way out of this situation consists in restricting the domain of validity of some basic postulates of general relativity and abandoning them at high energy scales
It has been shown [4] that in the supersymmetric extension of the Einstein-aether theory based on chiral vector super-aether field interactions between the aether and the fields of the Standard Model are suppressed
Summary
Incompatibility of the principles of quantum field theory with general relativity is one of the most important problems in modern theoretical physics. The low-energy limit of the Horava theory, called khrono-metric model, presents a special case of the Einstein-aether gravity [2] In the latter model violation of the Lorentz invariance is described by the time-like vector field um with unit norm (umum = −1) called aether that minimally couples to the Einstein-Hilbert action for gravity, S. In this work we consider the coupling of supersymmetric aether to supergravity This cannot be realized within the minimal N = 1 supergravity which does not allow to define a chiral aether vector superfield (∇ ̄ α Ua = 0): anti-commutator of two supercovariant derivatives with spinor indices acting on a vector superfield does not vanish prohibiting to impose the chirality condition. We use the latter formulation to construct a superfield Lagrangian for the aether field coupled to linearized gravity and prove that it is unique, up to the choice of a single parameter
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