Delocalization from Anomaly Inflow and Intersecting Brane Dynamics

TL;DR

This paper explores how intersecting D-brane models in string theory can reproduce the dynamics of the Gross-Neveu model, demonstrating the absence of Nambu-Goldstone bosons due to anomaly inflow effects.

Contribution

It presents a string-theoretic realization of the Gross-Neveu model, highlighting the role of anomaly inflow in the absence of Goldstone bosons in 2D chiral fermion theories.

Findings

D-brane models reproduce Gross-Neveu dynamics

Nambu-Goldstone bosons are absent due to anomaly inflow

Gauge field dynamics explain symmetry breaking without Goldstone bosons

Abstract

We study intersecting D-brane models, that describe at low energies a two dimensional chiral fermion theory localized at the intersection. The fermions are coupled to gauge fields in the bulk. The resulting low energy theory is equivalent to the Gross-Neveu model with dynamical chiral symmetry breaking. No Nambu-Goldstone boson associated with spontaneously broken symmetries appears in two dimensional field theories. In the present work we discuss solvable models with the same basic dynamics of the dual Gross-Neveu model. The disappearance of the Nambu-Goldstone boson is obtained from D-brane dynamics. The mechanism relies on the non-trivial dynamics of a gauge field due to anomaly inflow.