Symmetry Breaking Bulk Effects in Local D-brane Models

TL;DR

This paper investigates how symmetry breaking effects in local D-brane models, specifically on C^3/Z_3 geometries, are influenced by compactification, revealing a hierarchy in symmetry breaking parameters through analysis of zero-modes.

Contribution

It provides a detailed analysis of symmetry breaking effects in local D-brane models due to compactification, focusing on the behavior of zero-modes and their impact on symmetry breaking operators.

Findings

Hierarchy in the size of symmetry breaking parameters

Leading effects captured by lowest scaling dimension modes

Global symmetries become gauged after compactification

Abstract

We study symmetry breaking effects in local D-brane models that arise as a result of compactification, taking models constructed on C^3/Z_3 as prototype. Zero-modes of the Lichnerowicz operator in cone-like geometries have a power law behaviour; thus the leading symmetry breaking effects are captured by the modes with the lowest scaling dimension which transform non-trivially under the isometry group. Combining this with the fact that global symmetries in local models are gauged upon compactification we determine the strength and form of the leading operators responsible for the symmetry breaking. We find a hierarchical separation in the size of symmetry breaking parameters.