Holographic Branes

TL;DR

This paper explores holographic branes, showing how bulk geometry determines observable particle properties and establishing a holographic principle for codimension-two branes in higher-dimensional theories.

Contribution

It introduces the concept of holographic branes, linking bulk solutions to brane physics and providing a framework to compute particle properties from bulk geometry alone.

Findings

Brane energy-momentum tensor relates to bulk integration constants.

Wave functions of chiral fermions are concentrated on the brane.

Bulk geometry suffices to determine observable particle properties.

Abstract

We discuss the properties of codimension-two branes and compare them to codimension-one branes. In particular, we show that for deficit angle branes the brane energy momentum tensor is uniquely related to integration constants in the bulk solution. We investigate chiral fermions whose wave functions are concentrated on the brane, while all their properties in the effective four-dimensional world can be inferred from the tail of the wave function in the bulk, thereby realizing a holographic principle. We propose holographic branes for which the knowledge of the bulk geometry is sufficient for the computation of all relevant properties of the observable particles, independently of the often unknown detailed physics of the branes.