The holographic mapping of the Standard Model onto the black hole horizon, Part I: Abelian vector field, scalar field and BEH Mechanism

TL;DR

This paper explores how Standard Model interactions, including Abelian vector and scalar fields with the Higgs mechanism, are represented on a black hole horizon through a holographic operator algebra, advancing understanding of horizon dynamics.

Contribution

It introduces the algebra induced on the horizon by U(1) vector and scalar fields, incorporating the Higgs mechanism and transverse components, as a step towards holographic modeling of Standard Model interactions.

Findings

Describes the operator algebra for U(1) vector fields on the horizon.

Includes the effects of the Higgs mechanism in the algebra.

Provides a detailed analysis of transverse vector components.

Abstract

Interactions between outgoing Hawking particles and ingoing matter are determined by gravitational forces and Standard Model interactions. In particular the gravitational interactions are responsible for the unitarity of the scattering against the horizon, as dictated by the holographic principle, but the Standard Model interactions also contribute, and understanding their effects is an important first step towards a complete understanding of the horizon's dynamics. The relation between in- and outgoing states is described in terms of an operator algebra. In this paper, the first of a series, we describe the algebra induced on the horizon by U(1) vector fields and scalar fields, including the case of an Englert-Brout-Higgs mechanism, and a more careful consideration of the transverse vector field components.