Supergravity with broken Lorentz invariance

摘要

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. A promising approach to quantization of gravity based on abandoning the Lorentz invariance has been proposed by Horava.~1 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 u~m with unit norm (u~mu_m= - 1) called aether that minimally couples to the Einstein-Hilbert action for gravity.