Type: Preprint

Gauge from holography

José A. Zapata;

Abstract:

In a spacetime divided into two regions U1 and U2 by a hypersurface \Sigma, a perturbation of the field in U1 is coupled to perturbations in U2 by means of the first-order holographic imprint that it leaves on \Sigma. The linearized glueing field equation constrains perturbations on the two sides of a dividing hypersurface. This linear operator may have a nontrivial null space; a nontrivial perturbation of the field leaving a holographic imprint on a dividing hypersurface which does not affect perturbations on the other side should be considered physically irrelevant. This condition, together with a locality requirement, leads to the notion of gauge equivalence in first-order Lagrangian field theory.