D7-anti-D7 bilayer: holographic dynamical symmetry breaking

TL;DR

This paper presents a holographic model of dynamical symmetry breaking in 2+1 dimensions, where a D7-anti-D7 brane pair fuses, leading to spontaneous symmetry breaking and the emergence of vector meson towers.

Contribution

It introduces an analytical computation of current-current correlation functions in a holographic setup with symmetry breaking via brane fusion.

Findings

Correlation functions exhibit expected low-momentum behavior for spontaneous symmetry breaking.

Presence of poles indicating infinite towers of vector mesons with evenly spaced masses.

Analytical expressions for correlation functions in the holographic model.

Abstract

We consider a holographic model of dynamical symmetry breaking in 2+1-dimenisons, where a parallel D7-anti-D7 brane pair fuse into a single object, corresponding to the U(1)XU(1)->U(1) symmetry breaking pattern. We show that the current-current correlation functions can be computed analytically and exhibit the low momentum structure that is expected when global symmetries are spontaneously broken. We also find that these correlation functions have poles attributable to infinite towers of vector mesons with equally spaced masses.